Records of Equal sums of like powers

BEST KNOWN SOLUTIONS

Here is a list of all known lower terms equations.
The names of the discoverers and the year of the discovery have been added.

The notation is:
(k, m, n)
where:
k = power
m = number of left terms
n = number of right terms

*x means that we have to add x times the number.
Example:
38*2+3=41+23+20*2+18+13*2+12+9
is equivalent to:
38+38+3=41+23+20+20+18+13+13+12+9

If you want to help to find better solutions, go to the download page.

(2,1,2) 5=4+3
(3,1,3) 6=5+4+3
(3,1,3) 709=631+461+193 (Jean-Charles Meyrignac, 09/08/2000)
(3,2,2) 1699+1049=1823+61 (Jean-Charles Meyrignac, 09/08/2000)
(3,2,2) 12+1=10+9
(4,1,3) 2813001=2767624+1390400+673865 (Allan MacLeod)
(4,1,3) 8707481=8332208+5507880+1705575 (D.J. Bernstein)
(4,1,3) 12197457=11289040+8282543+5870000 (D.J. Bernstein)
(4,1,3) 16003017=14173720+12552200+4479031 (D.J. Bernstein)
(4,1,3) 16430513=16281009+7028600+3642840 (D.J. Bernstein)
(4,1,3) 20615673=18796760+15365639+2682440 (Noam Elkies, 1986)
(4,1,3) 422481=414560+217519+95800 (Roger Frye, 1988)
(4,1,3) 638523249=630662624+275156240+219076465 (Allan MacLeod,1998)
(4,2,2) 239+7=227+157
(4,2,2) 239+7=227+157
(5,1,4) 144=133+110+84+27 (Lander, Parkin and Selfridge,1966)
(5,2,3) 14132+220=14068+6237+5027 (Bob Scher and Ed Seidl,1997)
(6,1,7) 145681=134232+123480+67921+56826+56364+28032+25410 (Greg Childers, 07/12/2000)
(6,1,7) 144175=131292+114772+107793+41370+16452+11550+6048 (Greg Childers, 07/11/2000)
(6,1,7) 141709=122675+114198+112350+79884+75180+52164+24060 (Greg Childers, 07/09/2000)
(6,1,7) 123943=111783+106204+73122+66402+29442+12684+6294 (Greg Childers, 07/06/2000)
(6,1,7) 125945=116382+87276+85680+82306+81447+62664+41622 (Greg Childers, 07/06/2000)
(6,1,7) 130783=120330+100408+85665+83034+72030+65688+29190 (Greg Childers, 07/06/2000)
(6,1,7) 1645=1560+1299+864+702+618+430+150 (Jean-Charles Meyrignac, 1999)
(6,1,7) 1757=1494+1402+1248+1242+1200+804+195 (Jean-Charles Meyrignac, 1999)
(6,1,7) 2009=1944+1506+664+522+345+198+90 (Jean-Charles Meyrignac, 1999)
(6,1,7) 2023=1902+1548+1320+1136+345+240+30 (Jean-Charles Meyrignac, 1999)
(6,1,7) 2471=2228+1956+1728+1668+1017+552+510 (Jean-Charles Meyrignac, 1999)
(6,1,7) 3073=2830+2568+1761+1446+1086+996+576 (Jean-Charles Meyrignac, 1999)
(6,1,7) 34781=33354+24360+21252+19229+18480+10920+8190 (Jean-Charles Meyrignac, Wannes de Smedt)
(6,1,7) 38191=34223+33726+16506+12432+9102+7266+6216 (Jean-Charles Meyrignac, Wannes de Smedt)
(6,1,7) 39779=37506+31752+22008+17955+12516+11834+2940 (Jean-Charles Meyrignac, Wannes de Smedt)
(6,1,7) 54347=48846+46032+33376+32748+19467+3150+2100 (Wannes de Smedt)
(6,1,7) 59819=51744+48342+44310+42966+9402+8715+7574 (Wannes de Smedt)
(6,1,7) 63631=54138+54018+48090+39088+25263+23268+1344 (Wannes de Smedt)
(6,1,7) 66029=58758+51891+51366+38892+25582+20916+12264 (Wannes de Smedt)
(6,1,7) 67681=65100+49968+35574+33138+32046+8001+2800 (Wannes de Smedt)
(6,1,7) 70513=60550+57978+57246+26040+21672+18417+13314 (Wannes de Smedt)
(6,1,7) 78919=75978+57890+40761+38730+38598+26124+13776 (Wannes de Smedt)
(6,1,7) 89797=83580+67704+60018+58450+27852+11739+10038 (Wannes de Smedt)
(6,1,7) 97081=86632+81522+69930+37401+31752+21798+20568 (Wannes de Smedt)
(6,1,7) 108805=94038+85512+81221+75420+65856+53676+17178 (Wannes de Smedt)
(6,1,7) 204497=177270+168294+163884+43120+31311+29904+9030 (Mark Dodrill, 08/30/2000)
(6,1,7) 204499=178290+170646+136626+127962+126224+103908+71085 (Mark Dodrill, 08/30/2000)
(6,1,7) 201133=189462+161524+103068+99918+31962+20034+9261 (Jean-Charles Meyrignac, 08/24/2000)
(6,1,7) 198689=177548+170394+130830+94206+39480+38892+36609 (Mark Dodrill, 08/23/2000)
(6,1,7) 198895=187530+158760+110040+89775+62580+59170+14700 (divisible by 5, Mark Dodrill, 08/23/2000)
(6,1,7) 177125=159306+142674+127428+101730+94458+17892+12901 (Laurent Lucas, 08/21/2000)
(6,1,7) 194395=176778+147756+133560+124446+121716+80438+70917 (Mark Dodrill, 08/19/2000)
(6,1,7) 194395=172032+164556+140742+80438+72450+25851+18816 (Mark Dodrill, 08/19/2000)
(6,1,7) 173905=166770+121800+106260+96145+92400+54600+40950 (divisible by 5, Laurent Lucas, 08/17/2000)
(6,1,7) 171971=166467+123438+96544+77742+51030+29058+8232 (Laurent Lucas, 08/17/2000)
(6,1,7) 190955=171115+168630+82530+62160+45510+36330+31080 (divisible by 5, Greg Childers, 08/17/2000)
(6,1,7) 185659=173670+134386+130053+117600+70644+51216+3528 (Greg Childers, 08/15/2000)
(6,1,7) 173905=166770+130326+93240+87486+72254+26481+3486 (Laurent Lucas, 08/07/2000)
(6,1,7) 172129=155568+147201+107436+68684+46158+41664+38052 (Greg Childers, 08/04/2000)
(6,1,7) 1141=1077+894+702+474+402+234+74 (Lander, Parkin and Selfridge,1966)
(6,1,7) 127195=113442+101346+99498+60613+14616+9546+7350 (Greg Childers, 08/02/2000)
(6,1,7) 152041=147910+107415+81690+58674+41790+34392+30996 (Greg Childers, 07/19/2000)
(6,2,5) 19168+1747=18984+10584+10088+8214+5299 (Frank Clowes)
(6,2,5) 19869+10673=19866+9783+9324+2088+1925 (Frank Clowes)
(6,2,5) 20111+15059=18879+15680+14854+13812+2499 (Larry Hays, 11/30/1999)
(6,2,5) 20173+15459=20469+13118+11550+5355+1170 (Larry Hays)
(6,2,5) 20235+1690=19915+11706+11472+10542+5754 (Larry Hays)
(6,2,5) 20273+17527=20755+16182+8892+5348+4221 (Larry Hays)
(6,2,5) 21223+14630=20748+16359+11438+4028+1596 (Larry Hays, divisible by 19)
(6,2,5) 22451+7601=20823+16148+15477+14322+13706 (Larry Hays, divisible by 11, 03/31/2000)
(6,2,5) 23192+20259=22932+19170+16874+13629+7602 (Larry Hays)
(6,2,5) 24781+125=23457+20046+6951+2968+214 (Larry Hays, 05/04/2000)
(6,2,5) 25153+6036=25116+11297+6798+6090+6006 (Jean-Charles Meyrignac)
(6,2,5) 25309+19441=23996+22302+11532+8897+2067 (Jean-Charles Meyrignac)
(6,2,5) 25360+4407=25020+15372+13524+10542+5015 (Jean-Charles Meyrignac)
(6,2,5) 25691+17710=25116+19803+13846+4876+1932 (Jean-Charles Meyrignac, divisible by 23)
(6,2,5) 27081+15688=25116+20762+20664+8322+6135 (Jean-Charles Meyrignac, 04/22/2000)
(6,2,5) 28314+3211=27531+19006+17580+12096+4452 (Kevin O'Hare)
(6,2,5) 28537+2038=28112+16702+16602+12519+3360 (Kevin O'Hare)
(6,2,5) 29040+22271=29804+16590+5748+4914+2625 (Kevin O'Hare, 03/30/2000)
(6,2,5) 29384+17515=28518+22088+16128+9828+1355 (Kevin O'Hare, 05/10/2000)
(6,2,5) 29875+28496=31584+25158+7536+2632+1901 (Kevin O'Hare, 05/10/2000)
(6,2,5) 30038+4607=26726+26310+17650+12831+12474 (Jean-Charles Meyrignac, 04/22/2000)
(6,2,5) 27925+19250=27300+21525+15050+5300+2100 (Jean-Charles Meyrignac, divisible by 25, 07/17/2000)
(6,2,5) 26797+12368=24794+22764+11539+5148+1386 (Jean-Charles Meyrignac, 07/03/2000)
(6,2,5) 26851+8272=24024+23056+16324+13926+13629 (divisible by 11, Jean-Charles Meyrignac, 07/03/2000)
(6,2,5) 26435+21913=27702+5887+3339+2568+1274 (Jean-Charles Meyrignac, 06/20/2000)
(6,2,5) 26143+21591=27132+16625+8871+5622+966 (Jean-Charles Meyrignac, 06/13/2000)
(6,2,5) 25951+4901=25750+15486+7203+3906+3031 (Jean-Charles Meyrignac, 06/08/2000)
(6,2,5) 2041+691=1893+1468+1407+1302+1246 (Giovanni Resta, April 1999)
(6,2,5) 2441+752=2184+2096+1484+1266+1239 (Giovanni Resta, April 1999)
(6,2,5) 2827+151=2653+2296+1488+1281+390 (Giovanni Resta, April 1999)
(6,2,5) 2959+2470=2954+2481+850+798+420 (Giovanni Resta, April 1999)
(6,2,5) 5585+3850=5460+4305+3010+1060+420 (Larry Hays, Tommy Nolan, divisible by 5)
(6,2,5) 6623+323=6615+2912+642+434+363 (Larry Hays and Tommy Nolan, 11/27/1999)
(6,2,5) 8905+347=8820+5489+2576+2499+534 (Tommy Nolan)
(6,2,5) 8969+5203=9023+2604+2520+2379+478 (Tommy Nolan)
(6,2,5) 9551+9451=10080+8589+4884+3976+3943 (Tommy Nolan)
(6,2,5) 9612+7271=9198+7446+6580+6279+5118 (Tommy Nolan)
(6,2,5) 9707+6277=9675+5796+5531+4536+3640 (Tommy Nolan)
(6,2,5) 10205+3455=9465+7340+7035+6510+6230 (Tommy Nolan, divisible by 5)
(6,2,5) 12205+3760=10920+10480+7420+6330+6195 (Tommy Nolan, divisible by 5)
(6,2,5) 40261+31165=41489+20472+9642+8351+7224 (Matthias Koehler, 11/03/2000)
(6,2,5) 12272+2459=11522+9144+8283+7434+1400 (Tommy Nolan)
(6,2,5) 12287+8470=12012+9471+6622+2332+924 (Tommy Nolan, divisible by 11)
(6,2,5) 13417+5933=11403+11378+10698+4641+70 (Tommy Nolan)
(6,2,5) 13903+5317=13788+8295+6026+1827+1232 (Tommy Nolan)
(6,2,5) 14135+755=13265+11480+7440+6405+1950 (Tommy Nolan, divisible by 5)
(6,2,5) 14521+10010=14196+11193+7826+2756+1092 (Tommy Nolan, divisible by 13)
(6,2,5) 14795+12350=14770+12405+4250+3990+2100 (Tommy Nolan, divisible by 5)
(6,2,5) 15149+6914=14520+10675+10444+6006+810 (Gerben Dirksen)
(6,2,5) 15627+1865=14196+13608+5385+4032+565 (Edward Brisse)
(6,2,5) 15905+10519=14679+13759+9534+3822+2482 (Edward Brisse)
(6,2,5) 16103+9111=14868+13755+8484+6253+2004 (Hugues MacKay)
(6,2,5) 16159+10532=15442+11760+11016+10273+3234 (Hugues MacKay)
(6,2,5) 16160+1865=15792+11470+4984+4329+1008 (Hugues MacKay)
(6,2,5) 16315+8749=15246+11682+11375+11140+7119 (Hugues MacKay)
(6,2,5) 16867+14786=17790+9821+9786+2912+2502 (Hugues MacKay)
(6,2,5) 1117+770=1092+861+602+212+84 (Edward Brisse and Giovanni Resta, 04/20/1999)
(6,2,5) 17737+16043=17646+14574+14261+3255+2590 (Hugues MacKay)
(6,2,5) 18989+13090=18564+14637+10234+3604+1428 (Torbjörn Alm, divisible by 17)
(6,3,3) 23+15+10=22+19+3 (Subba-Rao,1934)
(7,1,7) 568=525+439+430+413+266+258+127 (Mark Dodrill, 03/20/1999)
(7,1,7) 626=625+309+258+255+158+148+91 (Maurice Blondot, 11/14/2000)
(7,2,6) 386+18=363+332+149+82+40+26 (Maurice Blondot, 08/04/2000)
(7,2,6) 125+24=121+94+83+61+57+27 (Jean-Charles Meyrignac)
(7,3,5) 153+43+14=140+137+59+42*2
(7,3,5) 96+41+17=86+77*2+68+56 (Randy Ekl, Rizos Sakellariou)
(7,4,4) 194+150+105+23=192+152+132+38
(7,4,4) 698+556+443+184=673+625+353+230 (Nuutti Kuosa, 09/08/1999)
(7,4,4) 711+688+332+313=698+668+592+86 (Nuutti Kuosa, 09/08/1999)
(7,4,4) 194+150+105+23=192+152+132+38
(7,4,4) 194+150+105+23=192+152+132+38
(7,4,4) 194+150+105+23=192+152+132+38
(7,4,4) 194+150+105+23=192+152+132+38
(7,4,4) 194+150+105+23=192+152+132+38
(7,4,4) 194+150+105+23=192+152+132+38
(7,4,4) 194+150+105+23=192+152+132+38
(7,4,4) 149+123+14+10=146+129+90+15 (Randy Ekl)
(8,1,8) 1409=1324+1190+1088+748+524+478+223+90 (Scott I. Chase)
(8,2,7) 1303+1127=1334+976+648+623+516+401+272 (Scott I. Chase, 08/29/2000)
(8,3,5) 966+539+81=954+725+481+310+158 (Scott I. Chase)
(8,4,5) 221+108+94*2=195+194+188+126+38 (Randy Ekl, 1997)
(9,1,12) 103=91*2+89+71+68+65+43+42+19+16+13+5 (Jean-Charles Meyrignac,1997)
(9,2,10) 137+69=121+116*2+115+89+52+28+26+14+9 (Luigi Morelli, 03/12/1999)
(9,3,9) 38*2+3=41+23+20*2+18+13*2+12+9 (Randy Ekl, Rizos Sakellariou)
(9,4,6) 90+64+35*2=86+80+62+43+27+16 (Randy Ekl, 1997)
(9,5,5) 192+101+91+30+26=180+175+116+17+12 (Randy Ekl, 1997)
(10,1,13) 228=210+204+187+179+128+122+85+73+59+57+49+13+6 (Scott I. Chase)
(10,2,12) 135+55=129+115+105+103+83+80+71*2+51+47+15+12 (Victor Pliousnine, 02/29/2000)
(10,2,12) 112+99=109+103+83+79+72+59*2+52+20+15+5*2 (Nuutti Kuosa, 01/26/2000)
(10,3,12) 120+44+22=116+102+90+85+65+51*2+41+37+23+5+2 (Tommy Nolan, 02/02/2000)
(10,4,11) 264+209+99+66=252+240+196+184+150+140+81+76+62+56+29 (Scott I. Chase)
(10,5,9) 139+127+124+87+67=137*2+72+71+66*3+33+8 (Scott I. Chase)
(10,6,6) 95+71+32+28+25+16=92+85+34*2+23+5 (Randy Ekl,1997)
(10,6,6) 151+140+127+86+61+22=148+146+121+94+47+35 (Nuutti Kuosa, 09/03/1999)
(11,1,16) 78=71+69+66+64+63+52+47+43+29+23*2+22+14+12+7+1 (Luigi Morelli, 07/20/1999)
(11,2,16) 69+5=61+60+59*2+55*2+42+33*2+23+19+11+10+9+6+1 (Luigi Morelli, 07/27/1999)
(11,3,14) 72+56+12=69+66+53+49+43+34*2+20+9*2+8+4*2+2 (Nuutti Kuosa, 09/12/1999)
(11,4,12) 83+65+40+25=76+74*2+63*2+59+49+37+33+29+26*2 (Greg Childers, 10/16/2000)
(11,5,11) 82+41+31+16+15=80+71+60+44+32+30+26+18+13+6+3 (Torbjörn Alm, 08/23/2000)
(11,6,9) 68+63+58+57+51+35=69+61*2+45+38+24+16+13+5 (Greg Childers, 10/09/2000)
(11,7,9) 48+28+20+15*2+14+1=44+43+42+36*2+30+22+17+3 (Nuutti Kuosa, 09/20/1999)
(11,8,8) 67+52+51*2+39+38+35+27=66+60+47+36+32+30+16+7 (Nuutti Kuosa, 08/09/1999)
(12,1,26) 52=50+43*2+42+41+35*2+33*2+32*2+31*2+25+23*4+18+16+14+12+11+10+9+6 (Jean-Charles Meyrignac, 04/15/1999)
(12,2,23) 62+61=65+44*2+43+41+39+37+36+29*2+27+26+25*2+13*5+10+5*2+4 (Scott I. Chase, 10/12/2000)
(12,3,20) 60+18*2=56+55+52+43+41+35+31*3+26*2+25+21+17+13+11*3+9+1 (Scott I. Chase, 11/30/2000)
(12,4,16) 91+69+11+7=90+76+62+58*7+55+51+46+41+18+9 (Scott I. Chase, 10/02/2000)
(12,5,16) 52+41+39+15*2=50+46+42*2+38+37*3+32*2+30+21+18+14+10+2 (Scott I. Chase, 10/02/2000)
(12,6,15) 77+66+65*3+39=73+72*2+61+59+56+50+28+22+20+19+16+14+8+1 (Scott I. Chase, 12/07/2000)
(12,7,7) 99+77+74+73*2+54+30=95+89+88+48+42+37+3 (Greg Childers, 11/12/2000)
(13,1,33) 1838=1833+1418+1021+769+635+436+264+195+145+110+72+61+50+44+39+34+29+24+20+14*2+12+9+8+6*3+5*2+4*2+3*2 (Joe Crump, 05/28/2000)
(13,2,30) 365+300=343+308+306*5+266+211+147+112+82+64+55+48+41+31+21+20+17+16*2+13*2+11*2+8+5+3*2 (Torbjörn Alm, 07/06/2000)
(13,3,27) 677+427+181=611*3+600+440+244+187+141+114+89+73+60+52+39+28+21+17+16+14+11*2+9+5+4*2+2+1 (Jean-Charles Meyrignac, 07/24/2000)
(13,5,27) 166+151+142+132+41=171+107+62+53+45+38+28+17+13+11+9+7*3+6*4+4*8+1 (Jean-Charles Meyrignac, 08/07/2000)
(13,6,15) 80+70+42+38+37+15=81+48+32+26+22+17+14+11+7+4*6 (Jean-Charles Meyrignac, 08/08/2000)
(13,7,13) 63+57+55+32+20+10+4=64+56+28+22*2+19+8*2+3*4+2 (Fumitaka Yura, 11/19/2000)
(13,8,9) 72+64*2+58+45+40+24+18=73+65+53+52+43+32+29+23+15 (Greg Childers, 10/08/2000)
(14,1,39) 47=43*2+42+40+37*2+35+34*2+32+24*2+18+16*2+15+14*5+12+11*3+10*2+9+7*2+5*3+4*4+3+1 (Greg Childers, 01/03/2001)
(14,2,29) 50+32=48+45+43+39*2+37+34*2+31+29+24*5+23+21+14+12*3+11*3+10+9*2+7*2 (Fumitaka Yura, 01/16/2001)
(14,3,27) 48+30+19=46+43+40+39*2+36+35*2+31*3+26+23*3+21*2+18*2+17+16*2+9+4*2+1*2 (Fumitaka Yura, 12/31/2000)
(14,4,26) 48+22+15+9=46+43+40+39+38+36*2+35+34+33+31+28+26*2+20+16*2+14+11*3+10*2+7*2+4 (Fumitaka Yura, 11/10/2000)
(14,5,23) 57+43*2+22+8=55+50+49*2+42+40+39+38+35+34+32+31+30+25+19+16+15*2+10*2+6+4+3 (Greg Childers, 11/30/2000)
(14,6,17) 75+71+70+59+58+52=78+66+55+44+42*2+38+31+30+26*2+24+20+18+12+7+6 (Greg Childers, 10/16/2000)
(14,7,13) 88+83*2+49+40+17+3=92+65+56+55+52*2+27+22+10*3+5*2 (Greg Childers, 11/12/2000)
(14,8,13) 72*2+68+57*2+21+14+11=75+70+59+54+43+36+29+22+18+12*3+10 (Greg Childers, 11/21/2000)
(14,9,10) 54+43*2+36+35+34+33+26+20=51+49+48*2+30+29+22+16+14+13 (Joe Crump, 09/26/2000)
(15,1,46) 50=49+45+40+37+35+31*3+30*4+28*2+26*2+24*3+18+17+16+14*2+13+11*3+10*2+8*2+6*2+5*3+3*4+2*2+1*3 (Nuutti Kuosa, 04/26/1999)
(15,2,32) 40+10=36*3+34*2+33+31*4+30*3+29+28*3+25*2+23+19+18*2+15*3+14+12+7+4+3*2 (Fumitaka Yura, 12/26/2000)
(15,4,24) 69+39+24+8=66+64+59+57+49+48+40+38+37+36+34*2+25+23+22*2+21+19*2+18+16+15+5+3 (Greg Childers, 10/16/2000)
(15,5,23) 50+37*2+29*2=46*2+43*3+42+41+36+34*2+23+20+19+15+9+7+6*3+4*2+2+1 (Greg Childers, 10/05/2000)
(15,6,21) 68+50+26+14+6+3=66+62+59+44+38*2+34+30*2+29*2+27+24+22+21*2+20*2+10+4+1 (Greg Childers, 10/21/2000)
(15,7,20) 52+51*2+43+36+24+10=55+45*2+35*3+31+22+19+16*2+15*2+13+12+11*2+9+4+3 (Greg Childers, 10/08/2000)
(15,8,18) 63+60+54+52+36+30+6+5=65+48*2+41*2+39+37*2+25+23+18+17+13+12+10+7+3+2 (Greg Childers, 10/11/2000)
(15,9,15) 82+71+69*2+59+41+29+22+3=80+79+60+50+48+45+44+40*2+38+32+25+20+12*2 (Greg Childers, 10/21/2000)
(15,10,13) 67*2+64+52+41+30+27+24+20+11=70+62+60+57+47+32+26+15+13+7*2+4+3 (Joe Crump, 09/26/2000)
(15,11,12) 53*2+36+32+31+23+20+16*2+12+4=52+49*3+47+46+43+25+19+7+6*2 (Scott I. Chase, 10/12/2000)
(16,1,77) 32=31+30+25+23*2+22+21*8+19*2+17*8+16*2+15*3+14+13*8+12*5+11+10+9*21+6*2+5*5+3*3+1 (Nuutti Kuosa, 04/24/1999)
(16,2,73) 40+10=37*2+35*2+32+31*8+29+28*2+27*5+26+25*4+23*5+21+19*3+17*3+16+15*5+14*2+13*5+12+11*7+9+7*3+6+5*7+1*2 (Fumitaka Yura, 12/26/2000)
(16,3,53) 59+51+49=56*2+54+44+42*2+40*4+38*14+30+28*3+26*2+22*2+20*4+16*2+14+13*2+12*3+10+9+8+6*4+4*2 (Scott I. Chase, 01/16/2001)
(16,4,37) 51+19+15+3=47+46*2+44*3+40*3+32+30+29*3+28*4+26+20*4+16*4+14*3+10+6*5+4 (Scott I. Chase, 01/08/2001)
(16,5,37) 55+34+17+11*2=52+50+48+47+46*2+44+40*3+38*7+35+32+30*2+28+25+24*3+22*3+18*3+14+8*2+6+3 (Scott I. Chase, 01/03/2001)
(16,6,36) 61+41+17*4=60+52*2+48+47*2+46*2+43+36*2+32*2+31+30+29+27+26*4+24+22+20*3+18+14+6+4*5+2*2 (Scott I. Chase, 01/20/2001)
(16,7,27) 49+41*2+21*2+18+11=46*2+45+40*2+38+37*2+35+34*3+32+26+24+22*2+19+15+14*3+12*2+8*2+4 (Scott I. Chase, 02/12/2001)
(16,8,22) 56+31+17*4+11+10=54+51+50+46+42+36+33+32+20*4+14*3+9+7+4*3+3*2 (Greg Childers, 11/12/2000)
(16,10,24) 51*3+41+37*2+35+23+17+6=50+49+48*4+47+34+30*2+22+20+19+18+16+14*2+13+11+8+5+3*2+1 (Fumitaka Yura, 11/11/2000)
(16,11,12) 81*2+80*2+50+39+30+24+18+7+3=85+83+45+44+36+35+26*2+14+10+5+2 (Torbjörn Alm, 10/28/2000)
(17,1,59) 40=39+35*2+33*3+31+30+29+26+25*7+24*7+22+20*3+19+18+17*7+13+11+10*7+9+8*2+6+5+4+3*7 (Fumitaka Yura, 12/26/2000)
(17,2,53) 40+20=38+36*2+34+33+32+31*7+30*3+28+27*6+25+22+21*3+19*2+17*3+16+15*2+12*2+11*5+9*2+7+6*3+3+2+1*2 (Fumitaka Yura, 12/26/2000)
(17,3,47) 56+42+23=53*2+50+45*2+44+40+39+38*3+37*2+35*2+33+32*2+31*2+30+28+27+25+24+21*3+20+18+14*2+13*3+11+7*2+6+5+4*2+3+2*2+1*2 (Greg Childers, 12/07/2000)
(17,4,36) 69+65+57+14=67+64*2+59*2+58+52*4+51+50+49+42+39*2+37+35+32*2+30*3+25+24+23+20+18+11+8+5*3+4+1*2 (Greg Childers, 11/21/2000)
(17,5,36) 46+42+31*2+6=43*3+41+40+37+32+30+27*3+24*2+20+19+18+17+15+14+12*4+11*2+10+8+7+5*2+4*4+3+1 (Greg Childers, 11/27/2000)
(17,6,30) 62+58+39*2+34+20=61+59+53+52+47+45+38+37+36*2+35+31+30+29+25+23+17+15+13*2+10*2+9+8+7*2+6*2+2*2 (Greg Childers, 12/03/2000)
(17,7,23) 78+70+56+44+40+37+18=75+74+68*2+62*2+55+54+51*2+39+36+30+29+25+16+15+12+10+9+7+4+1 (Torbjörn Alm, 10/31/2000)
(17,8,24) 78*2+56+45+25+24+23+20=80+74+64+62+52+51+50+43+40*2+38*2+36+30+28+27+26+19+17+12*2+8*2+4 (Greg Childers, 10/11/2000)
(17,9,23) 65+55*2+45+37+26+24+7+1=62+61+59+54*2+52*2+48+43*2+41+36+33+28*2+23*2+20*2+18*2+6+3 (Greg Childers, 12/03/2000)
(17,10,20) 80+75+67+59+44+35+19+4+1*2=78+74+72+71+70+66+62+60*2+58+52+41+30+29+25+17+14+7+6+3 (Douglas McNeil, 11/19/2000)
(17,11,21) 63+60+59*2+55+51+43+41+39+35+14=66+49+42+40*2+38*2+32+30+23+22+19+18*2+11+9+7*2+6+2*2 (Torbjörn Alm, 10/24/2000)
(17,12,18) 61*2+52+48+41+38+32*2+20+14+8+4=62+60+45*2+31+30+29+19*2+16*2+9+7*3+5+3+1 (Greg Childers, 10/12/2000)
(17,13,18) 65*2+62+61*2+57+45*3+33+30+17+1=67+66+60+50+44+42+32+31+27+26+24+23+21+19*3+13+4 (Greg Childers, 10/13/2000)
(17,14,14) 64+58*2+41+34*2+32+31+27*2+21+19+17+9=65+52*2+49+46+43+36+35+28+20+14+12+10*2 (Greg Childers, 10/08/2000)
(18,1,60) 39=37+36+33*5+32*3+30+29*4+27*10+26*2+24+22+21+19*2+18+17*4+16*2+15*9+14+12+11+10+9+7+6*2+2*2+1*2 (Fumitaka Yura, 12/27/2000)
(18,3,59) 38+31+16=35*3+34+33+32+30*4+29+28*3+27+26*4+24+22+20*3+17*2+15*10+14+11+10*2+6*4+5*2+4+3*8+1*4 (Fumitaka Yura, 12/27/2000)
(18,4,58) 38+19*2+1=34*4+33*3+32*3+31+30*4+28+23*2+22*3+21*3+20*3+18*7+15*2+13+12*3+10*5+9*2+8*2+7+6+5*2+4+3*2+2*2 (Fumitaka Yura, 12/27/2000)
(18,5,43) 53+50+29+21+16=52+48+47*3+45+43*2+41*2+40+36+35*2+34+32+27+23*2+22+20+18*3+17+14+13+12*2+11*3+7+5*3+4+3*3+2+1*2 (Torbjörn Alm, 11/29/2000)
(18,6,43) 50+43*2+40+38+3=47*3+44+41+39*3+37+36+35+34+32+28+27+26*2+25+24+22*3+20*3+17+15*2+13+12*2+11*3+10*2+9+8*3+4+2*2 (Greg Childers, 10/06/2000)
(18,7,43) 57*2+52+33+32+23+3=56+55+53*2+51+50+47*2+46*3+45+44*2+42+41+39*3+36+35*2+34*2+31*2+30*3+29+28+26+22+18*2+17+14*2+13+9+8+7+5 (Fumitaka Yura, 11/24/2000)
(18,8,43) 38+31+21+19*2+3*3=37+35+33*2+28*4+27+26+25*2+24+23+22*8+16+15*4+14+12+11*3+9*3+8+7*2+5*2+4+2+1 (Fumitaka Yura, 12/27/2000)
(18,9,43) 40+38*2+28+23*2+19*2+18=37*6+36+34+33*2+32+31*3+30+26*2+15+14*3+13*7+11+10+8*3+7*4+4+3*3+2+1 (Fumitaka Yura, 12/27/2000)
(18,10,34) 54+46+30+28+27+12*2+8+6+3=52+50+49+47+43*2+39+38*3+36+34+33+31+29+26*3+25*2+21+20*3+19*2+17+16+13+10+7*2+5+4 (Fumitaka Yura, 11/14/2000)
(18,11,29) 68+61+60+53+51+44+38+28+13*2+2=66*2+56+55+54*2+52+48+46+43+42*2+39*2+36*2+35+30+27+22+21+15+12+9*3+5+4+3 (Greg Childers, 10/21/2000)
(18,12,28) 55+44+38+34+33+22+19*2+15*2+14+1=51*2+50*2+48+45*2+41+36+35+28+27+24*2+23+21+18*2+12+11+9*4+8*2+6+3 (Fumitaka Yura, 11/14/2000)
(18,13,29) 46+44+43+41+38*2+35+25+22+19+16+13+8=45+42*6+39+37*2+34+33*2+32*2+29+28*2+21+17+12+9*3+7+6+4*2+1 (Fumitaka Yura, 11/10/2000)
(18,14,16) 75+68+61+58*2+56+47+46+44+41+40+32+24+22=74+69+67+65+55+51+49+42+38*2+37+35+25+23+9+1 (Greg Childers, 10/10/2000)
(18,15,15) 75+74+60+58+55+41+39*2+38+26+25+20+13+7+6=76+71+68+54+49+47+43+37+36+27+24+16+9+8+5 (Greg Childers, 10/11/2000)
(19,1,77) 39=36*2+35+33*6+32*3+31*8+30+28+26*6+25+24*2+23*2+22*3+21*5+19*2+18*3+17*10+14*4+13*9+12+11+9+5+4+2*3 (Fumitaka Yura, 12/27/2000)
(19,2,67) 55+40=52+51+50*2+46+45+44+43+42+38*7+36+35*3+34*2+31+30+28+27+26*4+24*4+23*6+22+21*2+18*4+17*2+16+15*4+14+13+12+11*3+7+5+3+2*2+1*2 (Torbjörn Alm, 12/10/2000)
(19,4,53) 39+36+12+7=37*3+33+32+31+29*9+28+27*3+24*2+23*2+22+17+15+13*2+11*4+9*3+8*4+5*3+4*2+3*2+2*2+1*5 (Fumitaka Yura, 12/27/2000)
(19,5,43) 53+38+30+19+2=52+49+46+40+39+37*3+36+35+34+33+32*3+27*2+26*2+25+22+21+18*2+17*2+16+14+13*2+9+7*2+6*4+5+4*2+3*3 (Greg Childers, 11/26/2000)
(19,6,44) 48+43+40+27+13+1=46+45+44+42+41*2+39+37*2+36*2+35+32+31*2+29+25+24+21+20*5+18+17+15*2+14+12*2+11*2+10+9*2+7*4+5+4*3 (Fumitaka Yura, 11/10/2000)
(19,7,41) 57+41+35*2+28+16+2=55+54+49+48+46*2+42*2+40+39+34*2+29*2+27*3+26+24*2+21*2+20+19*3+17*2+14*3+12*2+11*2+10+7+4*2+3+1 (Fumitaka Yura, 11/19/2000)
(19,8,36) 53+38+33+32+25+19+11+10=49+47*6+46+44*2+43+42+41+34+30*3+28+26+24+23+21+20+18*2+17*2+15*2+13+12*3+9+3+1 (Fumitaka Yura, 11/14/2000)
(19,9,33) 62+59+50+35+34*2+29+5+1=58+57*5+54+51+48+44*3+43*3+42+41+36+32+25+23+20+19+16*2+15*4+10+6+2*2 (Greg Childers, 11/09/2000)
(19,10,29) 80+63+53+43+42+35+24+21*2+19=75*2+73+71+69*2+64+58*3+57+56+55+51+45+41+39+29+28+23+22+17+15+13+12+11+8+4+3 (Greg Childers, 10/12/2000)
(19,12,31) 78+69+58+50+46+44+39+38+37+23+6+4=74*2+71*2+64+57*2+55+52+48+47*2+45*2+43+42+41*2+40+35+33+31+30+29+25+21+20*2+18+7*2 (Greg Childers, 10/23/2000)
(19,13,27) 79+75+68+66+45+44+39+38+31+30+8*2+2=78+73+72+71+69+65+64+63+62+60+56+54*2+53*2+49+47+42+41+40+33+32+29+23+17+16+15 (Greg Childers, 10/12/2000)
(19,14,27) 73+71+69+67+60+55+51+44+42+41+35+23+1*2=75+70+61+53+52+34+30+27+24*2+21+18+17*2+14+13+12*2+10*2+8+7*2+6+5+4+2 (Greg Childers, 10/18/2000)
(19,15,21) 69+59+58+56+55+54+51+27+23+19*2+15*2+11*2=67+65+64+43+40+37+34+33+30+25+24+21+17+9+7*2+6+5*2+2+1 (Greg Childers, 10/08/2000)
(19,16,17) 76+73+69+56+37*2+34+32+29*3+23+17+13+2*2=77+70+68+61+40*2+36+35+30+26+25+18+10+9+5*2+3 (Greg Childers, 10/16/2000)
(20,1,87) 37=36+33*3+32+30*2+29*2+27*7+26*4+24*2+23*6+22*5+21+20+19*2+17*2+16*7+14*3+13*3+12*3+11+10*2+9*3+8+7*3+5*6+4*2+3*4+2*4+1*6 (Fumitaka Yura, 12/27/2000)
(20,2,70) 40+7=38+37+36+34*6+33+32*3+30*6+27*4+25*7+21*4+20+19+18*4+17*3+16+15*5+14*2+13*3+11+9+6+3*2+2*11 (Fumitaka Yura, 12/27/2000)
(20,3,67) 40+38+16=39+37+36*2+35*2+34+33+32*7+30*5+29*2+28*3+27*3+25*4+24*2+23*2+22*8+21*7+20+18+13*3+12*2+10+9*2+5*2+4+3*2+2 (Fumitaka Yura, 12/27/2000)
(20,4,64) 40+32*2+6=39+37+36+33+31*9+30*2+29+27*10+25*4+23+22+21*4+20*2+19+15*2+14*4+11*3+10+9+8+7*4+4*3+3*3+2+1*2 (Fumitaka Yura, 12/27/2000)
(20,6,62) 52+51+29+20+14+10=50*3+48+44*2+41*2+40+39*2+38*3+37+34+33*6+26+24*5+23+22+21+19+18*4+17*3+16*3+15+13*4+12+11*3+9*2+7*2+5*3+4+3+2+1 (Torbjörn Alm, 12/10/2000)
(20,7,39) 52+42*2+38+13*2+5=50+48*2+46+44*2+39*3+37*2+36*2+31+29*2+27+26+25+22*2+21+20*2+17*2+14+12+11*6+10*4+8 (Torbjörn Alm, 10/17/2000)
(20,9,41) 69+43*3+37+22+13*2+6=67+62+61*2+59+57*3+56*2+54+53+52+47*2+42+40*2+31*3+26*2+24*2+19*2+17+16+12*3+10+5*4+4+3*3 (Greg Childers, 11/10/2000)
(20,10,35) 56+46+45+35+34+31+30+25+9+6=52*2+51*2+49*2+48*2+47+43+41+39*2+38*3+32*2+29+24+23+21*3+20*3+17*3+11*3+10+3 (Fumitaka Yura, 11/14/2000)
(20,11,35) 56+50+47+36+35*2+32+26+22+21+10=54+52+51+49*3+46*2+45+44+40+37*4+34*2+29+28+27+24*2+19+18+17+14+12+11*2+9+8+5+3*2+1 (Fumitaka Yura, 11/14/2000)
(20,12,35) 56+55+53+43+41+40+30+20+14*2+5+2=57+54+49+47*2+37+36*3+34*2+33*2+31+27+26+24*2+21*2+19*4+16*2+15*2+13*2+12+10+8+1*2 (Fumitaka Yura, 11/19/2000) (Fumitaka Yura, 11/19/2000)
(20,13,35) 53+45+44+42+40*2+36+22+17+10*2+6*2=51+49*2+48+46+38+37*2+34+29*2+23+21*2+20+19*3+18+16+15+12*5+11*2+8*2+3+2*2+1*2 (Greg Childers, 11/30/2000)
(20,14,35) 46+40*2+32+25+22+20+18*2+13+12+11+10+3=44+43+41*3+38*3+37*4+36*4+35+31*2+29+27*2+26+21*4+19+14*4+8*2+1 (Fumitaka Yura, 11/09/2000)
(20,15,35) 44*2+32+30+28+24+20+17+10*5+5+2=43*2+42+40+39+38*2+29+26+25+19*7+18*2+16*2+15+9+8+7*3+6+4*6+1 (Fumitaka Yura, 11/09/2000)
(20,16,26) 68+63+57+49+46+34*2+27*4+22+20+6+3*2=65+64*2+60*2+58*2+48+42+40+38+35*2+32+30*2+29+24+19+18*2+15+14+7+5*2 (Greg Childers, 10/11/2000)
(20,18,19) 73+67+63+60*2+59+56*2+53+41+30*2+20+16+7+4+1*2=70*3+52+50+45+42+37*3+34+33+27*2+26+19+15+14+2 (Torbjörn Alm, 10/25/2000)
(21,1,93) 40=38*2+36+34*5+32+31*4+30*5+29+28*3+27*6+26*2+23*2+22*4+20*3+19*2+17*2+15*4+14*8+13*2+12*6+11*8+10*4+9*6+8+7*5+5+4+2+1*3 (Fumitaka Yura, 12/31/2000)
(21,2,80) 38+37=36*2+35*2+34*3+33*4+32*2+31+29*2+26+24*8+23*9+21*2+20+19*2+17*4+15+14*4+12*2+11+9+8*7+7*10+6+5*3+3+2*2+1*4 (Fumitaka Yura, 12/31/2000)
(21,3,77) 40*2+31=39+38*3+36+35*3+34*2+32*4+28+27+26*6+23*2+22+21+20*9+18*7+17+15*6+14*2+13*2+11*7+10*2+7*3+6*7+5+4+3+1*2 (Fumitaka Yura, 12/31/2000)
(21,5,75) 40+38+31+7+3=39+37*2+36*2+34*4+32+30*2+29+28*3+26*9+25+24*2+22*6+21*3+20*2+19+17+16*3+14*3+12+11*8+10*9+9*2+6*2+5*4+4+1 (Fumitaka Yura, 12/31/2000)
(21,6,50) 51+49+39+22+20*2=50+47+46*3+45*3+41*2+40+38*3+37*2+32*4+30+29+24*3+23+21+19+18*2+16+13*2+12+11*2+10*2+8*2+7*2+5+4*3+3*3+1 (Fumitaka Yura, 11/11/2000)
(21,8,48) 51+39+36+28*2+20+13+4=48+46*3+45*3+44*2+43*2+41+40+38+31*2+30+29+27*4+25+24+22*3+21+18+17*3+16*3+15+14+11*3+10+8*2+7*2+5+3*2 (Fumitaka Yura, 11/11/2000)
(21,9,41) 65+61+50+48+41+30+24+23+17=62*3+58+56+54+47+45+42+39+34+33+32+31*2+28*2+26*2+22+21*2+18+16+14*2+13+9*3+8*3+6*2+5*2+4*2+2+1 (Greg Childers, 12/13/2000)
(21,10,39) 66*2+57*2+52+28+18+12+7+6=65+64+63+62+59+58+55+53+51*2+48+43+42*2+41+40+39+38+35*2+34+32+31*2+29+26*2+24*2+22+19+16+15+13+10*2+8+4+1 (Greg Childers, 10/11/2000)
(21,11,37) 70+63+62+53+47+35+14+11*2+5*2=68+66*2+60+58+54+50*2+48+46*3+41*3+40+39+38+37*2+36*2+34+33+32*2+31+28+26*2+24+20+10+9*2+7+1 (Greg Childers, 10/22/2000)
(21,12,34) 59+50+42+41*2+33+21+20+18+11*2+8=57+55+53+52*2+51+49+46+40+37+34*3+32*2+31+30+28+27+26+24+22*2+17+16*2+15*3+14*2+12+10+3 (Greg Childers, 10/08/2000)
(21,13,31) 77+72+69+68+63+62+60+56+50+46*2+27+26=74+73+71*3+70+58+57+55*3+53*2+51+48*3+47*3+36+33+29+23+21+20+19*2+15+8+7 (Douglas McNeil, 11/22/2000)
(21,14,27) 85+81+72*2+61+59*2+53+50+41+33+28+21+4=84+80+79+77+71+64+60+55+54+47*2+43+39+38+34+32+27+23+22+20+13+12+11+8+7+1*2 (Greg Childers, 10/22/2000)
(21,15,25) 73+70+69+60+52*2+47*2+46*2+40+21+11+8*2=71*2+68*2+66+63+57+51+45*2+44+41+37+36*3+34+33+31+17+14+5*2+4+2 (Torbjörn Alm, 10/30/2000)
(21,17,23) 62+61*2+59+55+51+41*2+40*3+28+23+11+7+3+2=65+57+47+44+38*3+31+29+27+21+20*4+19*2+18*2+14+13+5+4 (Greg Childers, 10/21/2000)
(21,18,22) 74+72+62+61+59+54+52+46*3+34+33+30+25+22+20+17+9=73+71*2+60+58*2+50+49+38+37+35+32+27+19*3+16+12+6+5+4+3 (Greg Childers, 10/21/2000)
(21,18,22) 80+76+70+68*2+66+65+51*2+44+39+34+32*2+31+25+10+7=77*2+75+74+73+58+57+56+52+49+33+29+22*2+19*2+15+13+11+8+5*2 (Greg Childers, 10/21/2000)
(21,19,21) 76*2+71+65+64+60+49+41*2+33+32*2+28*2+27+26+18+13+8=78+73+69+62+61+54+51*2+46+45*2+30*2+22+14*3+12+9+6+2 (Torbjörn Alm, 11/03/2000)
(21,20,20) 76+74*2+64+58+50*2+48*2+45+41+32+21+20+10+9+8+6+4*2=77+73+70*2+67+56+47+46+38+35+29+28+25+23+16+14+11*2+3*2 (Greg Childers, 10/23/2000)
(22,1,95) 56=54+53+50*2+47*2+46*2+45+42*3+41*3+40+39*3+38+37*2+35*2+34*2+33*2+32*3+31*2+30+29*5+28*7+26+25*2+24*2+22+21+20+19*6+18*3+17+16+15*3+14*4+13*3+12*4+11+9+8+7+6+5*4+4+3*2+2*4 (Torbjörn Alm, 01/16/2001)
(22,2,95) 40+39=38+37*5+35*2+34*2+33*9+32*4+31*4+30*6+28*3+27*4+26*2+25*3+24+23+22*3+20+18+17*2+16*4+14*3+12*4+11*11+9*2+7+6*4+5*4+4*6+2+1 (Fumitaka Yura, 01/16/2001)
(22,3,79) 42+16+11=40*2+38*2+36+35*2+33*2+32*3+31*3+30*3+29*5+27*10+26+25*3+23*7+22*2+20*7+17*3+14*4+13*2+10*4+9*2+8*3+6+4*4+3+2+1 (Fumitaka Yura, 01/16/2001)
(22,5,74) 39+38+15+3+1=37*3+35*3+34*5+33+32*3+31*2+30*6+28*5+27*4+25*6+24*9+21*5+20+18+16+14*4+13*2+12*3+10*2+8*2+7+6*4+5 (Fumitaka Yura, 11/26/2000)
(22,7,59) 46+41*3+17+16+1=43*2+42*5+40+39+38*2+35+34*3+31+30*2+29+27+24+23*7+22*2+21*2+20+19*2+18+14*5+13*2+11+10*3+9*3+8+7*4+5+2*3 (Torbjörn Alm, 11/29/2000)
(22,9,56) 53+27*2+20+18+12*2+11*2=50+49*3+47+45*2+44+43+42*4+41+40*3+39+38+37+36+34*2+33+31*2+29*3+28*3+26*2+24+23+21+17*2+16*4+15*3+13*3+10+6+5*2+4*2+3 (Fumitaka Yura, 11/14/2000)
(22,10,55) 66+63+55+42*2+33+28*2+26+23=64*2+60+59+58+57*2+52+51+50*2+49+47+45+44+43*3+40+38*2+34+32+31*4+30+29*3+24+22*2+21*2+17*4+16+14+12*2+10*2+9+7+6+5+4+3+2*2+1 (Greg Childers, 12/08/2000)
(22,11,52) 51+50+46*5+41+38+28+12=52+49+45+44*3+42*2+40*2+39*2+36*3+35+34*2+33*3+32+31*3+30*2+29*2+25*3+24+22+21+20+17+16+15+14*2+13+11+6*2+4*2+3+1*4 (Torbjörn Alm, 11/25/2000)
(22,12,36) 81+80+76+56*2+52+41+40+34+24+8+5=83+73+72*2+68+67+62*2+61+58*2+57+53+51*2+48+47+46+42+38+37+36+31+30+26*2+22+19+17*3+15+13+9+4+1 (Greg Childers, 10/22/2000)
(22,14,37) 94+90+69+57+51+50+43+42+38+29*2+26+25+23=92*2+83+80+78+76*2+75+72+66+63*2+61+55+54+53*2+49*2+48+40+39+32*2+30+24+20*2+15+12+8+6+5+4+3*2+1 (Greg Childers, 10/12/2000)
(22,15,36) 69+67+64+62+54+53+51+46+37+36+31+20+14*2+11=70+66+59+56*2+55*2+52*2+48+43*3+42*2+38+34*3+33*3+32+30+29+28+22+17+15*2+12*2+10+7+6+1 (Greg Childers, 10/11/2000)
(22,16,37) 59*3+57*2+32+26+25+24+23*2+21+20+16*2+6=61+60+55+51*3+50*2+49+42*3+41*2+40+39+38+36+35+29+27+22*2+18+14+13*2+12+10*3+9*2+8+4*2+1 (Greg Childers, 11/30/2000)
(22,22,22) 85+79+78+72+68+63+61*2+60+55+43+42+41+38+36+34+30+28+24+12+11*2=83+82+77*2+76+71+66+65*2+58*2+54*2+51+49+48+47+26+17+14+8+6 (Greg Childers, 10/21/2000)
(23,1,105) 45=42*2+41*3+40+39*2+38*2+37+36+35*12+33*2+32+30*2+29*2+27+26*5+24+23*3+22+20*4+19*5+18*5+17+16*6+15*4+14*10+13+12*2+11+10*3+9+8+7*2+6*3+4*2+2*8+1*4 (Fumitaka Yura, 01/16/2001)
(23,2,104) 43+24=40*2+39*2+38+37*7+36*7+34*2+32*2+30*2+29*7+27*4+26*3+25+23*3+22*3+19*6+18*4+14+12*8+11*6+10+9+8*4+7*6+5*16+4*2+3*2+2 (Fumitaka Yura, 01/16/2001)
(23,3,91) 45+25+6=42+41*2+40*5+39*4+37*4+36*5+33*4+32*2+31*2+30*3+29+28+24*2+23*3+21*2+20*6+19+18+16*4+13*8+12*2+11*2+9+8*2+7*8+5*4+4*2+3*2+2*5+1*2 (Fumitaka Yura, 01/16/2001)
(23,4,86) 50+31+30*2=48*2+45+44+43*2+39*2+37*5+35*4+34*5+33*11+32+29*3+28+27*4+26*5+24*8+23+22*2+21+20*5+19+16*5+14+12+11*4+10*2+9*3+8+7+3*2+2 (Fumitaka Yura, 01/16/2001)
(23,5,81) 45*2+35+32+29=44+43*3+41+39*4+38*2+37*4+33+30*3+28+27*2+26+25+23*2+22*8+21*3+20+19*3+18*2+17*4+14*3+12*2+11*9+10*2+7+6+5+4*8+3*4+1*3 (Fumitaka Yura, 01/16/2001)
(23,6,79) 38*2+33*2+26+15=37*2+36*3+34+32+31*2+30*2+28*5+27*3+25*7+24+23*3+20*3+19*3+18*4+17*6+16*2+14+13*2+11*2+9*13+7*3+6*3+5*2+4+3*3+2 (Fumitaka Yura, 01/16/2001)
(23,7,65) 65+59+45+43+42+33+1=62*2+58*3+57+56*4+55+54+48+44*2+34+30*3+29*2+27+25*3+24*3+23+22*4+21+18*3+17*2+16*2+15*4+14*2+13*3+12+10*4+9+8+7*3+5*3+2*2 (Greg Childers, 11/30/2000)
(23,8,65) 54+47+35+22+20*2+9+7=51*2+49*3+46*5+45+44*3+43+42*2+40*2+39*3+37*2+36+34*2+32*2+31*2+29+27+26*2+25*2+21+19+18+17+16+15+14+13*6+11+10+8*5+6+5*3+4*2+1*2 (Greg Childers, 11/26/2000)
(23,10,53) 70+66+59+54+53+47+35+30*2+13=69+64*3+62*2+58*2+57*3+55+52+51+50+48+46+44+40+39*2+37+36*3+32+31+26*2+23*3+22*3+20*2+17+14+11+10*2+9*2+8*3+7*2+3*3+1 (Greg Childers, 12/03/2000)
(23,11,49) 58+48*4+44+42+39+36+26+2=56*2+52+50+49*2+46+43+40+38*2+37+35+33*3+31*3+30+29+28+25*3+24*4+23+22+19+17*2+15*2+14*2+10*3+9+7*2+6+4*3+1 (Fumitaka Yura, 11/19/2000)
(23,12,49) 67*2+51+48+47+41+39+32*2+29*2+3=65+63*2+62*4+61+60+59+58+57*2+54+52*2+49+46*2+44+42+38+35+34*2+33+31+25+23*4+21+20*2+19+18*2+17*2+15+12+9*3+8+7+6+4 (Greg Childers, 11/28/2000)
(23,13,41) 62+61+50*2+44+38+20+12+11+7*2+5+2=59+58*4+57*2+56*2+53+49+47*2+46*2+45*2+43+37+36*2+35+33*3+30+28+26*2+25+24+21*2+19+18+17+9*3+6+4 (Torbjörn Alm, 10/30/2000)
(23,14,36) 67+61*2+55+52*2+49+32+20*2+16+13+11+10=64*2+63+62+58*3+57+54+46*2+41*3+40*2+35*2+34*3+33+29*2+25+24+17+14+7+5*2+4*2+3*2+2 (Greg Childers, 10/11/2000)
(23,15,37) 65+61+47*2+46+41+38+30+22+12*2+6*2+5*2=62*2+60*2+59+58+57+52+49*4+44+43*3+42*2+40+35+34+29*2+24+23*2+18+17+16+15+14+11+7+4*3+1 (Greg Childers, 11/28/2000)
(23,16,33) 71*2+67*2+64+57*2+34+30*2+24+18+7*2+2+1=73+70+58+54+53*2+51*2+50+49*2+47+44+41+39+38+36+31*2+27*2+25+23+22+20+17*2+16+13+12+10+8+4 (Greg Childers, 10/13/2000)
(23,17,33) 83+78+74+70+69+67+62+40+39+28+25+22+21+17+16+14+3=81+80+76*2+73+71+68+59+54+53*2+50*2+49*3+48+46+45+43+36+33+30*2+26+23+18+13+11+9+6+5*2 (Greg Childers, 10/09/2000)
(23,20,28) 76+68+67+62+59+56+55+49+43+36+35+31*2+30+28+24+21+13+8+1=75+72+69+61+60+57+50+47*2+45+44+40+38+27+25*2+23*2+20+18+16+15+10+9*2+2*3 (Greg Childers, 10/13/2000)
(23,22,24) 75+73+68+66*2+60+57+55+54+51+50+47*2+44+38+37+35+21+19+15+14+3=76+71+67+64+62+59+49*3+46+34+33*2+30+29+27+22+13*2+11+9+7+2*2 (Greg Childers, 10/11/2000)
(24,1,156) 63=60+59*2+56+54*3+53*6+52*3+50*2+48*3+47*2+46*5+45+43+42*6+40*5+39*2+37*2+36*2+35*2+34*3+30*2+29*3+28*7+27*3+26*3+24*2+23+22+21*9+20*3+18*4+17*6+16*2+15*6+14*9+13*4+12*5+11*4+10*5+9*5+8*9+7*3+6*3+5*3+4+2 (Torbjörn Alm, 01/16/2001)
(24,2,153) 74+46=72+68+67*2+66+63*2+61*4+60+57*2+56*7+54+53*4+52+51+48+45*3+44*6+43+42+41*3+39*4+38*5+37*2+36*2+35*3+34*4+33+31*3+30*2+29*3+28*2+27*2+25*4+24*5+23+22*3+20*3+19*2+18*9+16*5+14*6+13*3+11+10*5+9*3+8*3+7*4+6*9+4*4+3+2+1*5 (Torbjörn Alm, 01/16/2001)
(24,3,141) 61+51+47=57*4+54*4+49+48+46+45*2+44*9+43+42*3+41*2+40+39*7+38*4+37*2+36*4+35*4+34+33*3+32*3+30*6+29*7+28+27*3+26+25*3+24*5+23+22*2+21*3+20+18*2+17+16*3+15*5+14*3+12*3+11+10*6+9*4+7*4+6+4*3+3*7+2*6+1*2 (Torbjörn Alm, 01/16/2001)
(24,4,128) 64+25*2+3=59*4+58*3+57+55*2+53+51*2+50*2+49*3+48+47*4+46+45*4+43*4+42*3+41*4+40*6+39+38*10+37*8+35*4+34*2+33+32+31*9+30+29*3+28*6+26*5+24*6+23*2+22+21*2+20+18*3+16*4+13+11+7+6+5+4*3+2+1*4 (Torbjörn Alm, 01/16/2001)
(24,5,114) 58*2+55+30+26=56+54*5+52*8+51*3+50*5+49*3+47*2+46*4+45*2+43+42*2+41*3+40+39*4+38*4+37+36*3+35*2+31*6+29+27+25*5+24*2+23*8+22*2+21*3+19*3+18+16+14*4+13*7+11*4+9+8+7*3+6+5+4+3+2*3 (Torbjörn Alm, 01/16/2001)
(24,7,86) 50+47+31*2+13+4+3=49+45*5+43*6+42+41*2+40+39+38*6+37+36*4+35*3+34*3+33+32*6+30*3+28+27+26+25+24+23+21*3+20*3+19+18*5+17+16+15+14*5+12+10*2+9*4+7*2+6*4+5+2+1 (Greg Childers, 12/13/2000)
(24,10,69) 47+34+28*2+21*2+18+14*2+10=45+44*2+41*4+40+39*5+36*5+33+32*3+31*5+29*2+27*3+26*2+24*2+23+22+20*4+19*2+17*3+15+12*2+9*2+8*4+7*2+6*4+5*3+4*2+2*2 (Greg Childers, 11/25/2000)
(24,11,57) 58+55*2+54+50+44+23+14+7+6*2=59+53*2+49+47*2+43+41+40+38*3+37*4+36+35*2+33+30*2+29*2+28*2+27+26*3+25*2+21+19*2+18*3+16*2+15+13*4+9+8+5+4*2+3*2+2+1*4 (Fumitaka Yura, 11/19/2000)
(24,13,58) 58*2+46+45+28*2+25*2+20*3+10+2=56*3+54*2+53+52+51+50*2+49*3+47+43*4+42+41*4+40*3+39+38+34*3+33+31+26*2+22+21*3+19+17*2+15*2+14+13*2+12*2+11+9*5+8+7+3 (Fumitaka Yura, 11/19/2000)
(24,14,55) 74+65+64*2+58+49+40*3+36+34+24+9*2=72+69*2+67+66+63+61*2+60+59*2+57*2+55*2+50+48*2+47*3+45*2+44*3+42+41*2+39+38*2+37*2+35+33+31*2+27+26+25+23+19*2+15+14*3+13+12+11+10+7+2+1 (Greg Childers, 10/24/2000)
(24,15,52) 48+40+34+27+20*2+18+11+10*6+6=46*2+44+43+42*2+39*2+36*2+35+31*2+26*5+25*3+24+23*2+19*5+17*3+15+14*3+13*4+9+7*3+5+3*5+2*2 (Fumitaka Yura, 11/10/2000)
(24,19,35) 70+64+61+50*2+46+41+37+36+33+29+25+24+23+20+17*2+3+1=68+67+66+62+56+54+52+47*2+45+44+43+34*3+27*2+26+22*2+19*2+18+14+13+12*2+8+7+6*3+4*3 (Greg Childers, 10/08/2000)
(24,23,28) 70+67+61*2+58*2+51*2+50*3+41+38+37+33*2+31*3+10+7+2*2=68*2+65*2+63+60+55+54*2+49+43+32+29*2+28+26*3+21+18*2+17+14*3+9+5+3 (Greg Childers, 10/10/2000)
(24,25,29) 83+81+80+74+71+70+64+62+60+49*2+47*2+41+37+36+35*2+34*2+33+24+10+6+5=84+79+78+77+72+69+65+61+57*2+54+52+48+44+43+32+29*2+26+23+22+19+18*2+8*2+4+2+1 (Greg Childers, 10/08/2000)
(25,1,189) 55=54+49+48*2+47*5+46*3+45*9+44*5+43*5+42*11+41*10+40*4+39*7+38*12+37*5+36*6+35*8+34*3+33*7+32*4+31+29*2+28*2+27+26*4+25*3+24*6+23+21+20*8+19*5+18*3+17+16+15*6+14*4+12+11*3+10+9+8*2+7*7+6+5*2+4+3*4+2*3+1*6 (Torbjörn Alm, 12/10/2000)
(25,2,124) 47+45=46+43*3+42*4+41*2+39*9+38*4+37*5+36*2+35+34*4+33*4+32+31*2+30+29*7+28*3+27*3+26*2+25*2+24*4+23*2+22*3+21+18*2+17*3+16*3+15*3+14*4+13*4+12*3+11*2+10*5+9+8*3+7*3+6*4+4*2+3*6+2*5+1 (Torbjörn Alm, 11/29/2000)
(25,3,104) 53+32+9=50+49*3+47*4+46*3+44*3+43*3+42*2+41*2+40*3+39*4+38*2+37*3+36*4+35*4+34*8+33+30*2+29*2+28+26*4+25+23*4+22*2+21*2+20*2+19*2+18*4+17*2+16*4+14+13+11+10*2+8*3+7+6+4*3+2*5+1*4 (Fumitaka Yura, 11/14/2000)
(25,4,94) 50*2+30+29=49+48+47+45*6+44*3+43*5+42*6+41*8+40*2+39*4+38*3+37*3+36*2+35*5+33*4+32*2+31+28+27+26*3+25+24+23*2+22+20*7+19*2+16+15*2+14*5+13+12+10+9*2+7+5+2+1*2 (Greg Childers, 11/07/2000)
(25,5,89) 58+55+15+14+2=56+54+53*2+52*5+50*4+48+47*3+46*5+45*2+44*4+41+39*3+38*3+37*5+34*4+33*2+32+31*5+29*3+28*2+27+25*3+23*5+22*4+20*3+19+18+16+13*3+12*2+9*2+8+6*2+3+1*2 (Greg Childers, 11/30/2000)
(25,7,81) 70+68+57*2+53+10+8=66*2+65*2+64*5+62+61*2+60+59*2+58+56*2+55*4+54*2+52+51+49+48*3+47+46+45+44*3+42*4+40*2+38*2+36+35*3+34+33*2+32+31*2+29*3+27+26*2+25+24+19+18*3+15+13+11*2+7*3+6*2+5+4+3+1*3 (Greg Childers, 10/11/2000)
(25,9,80) 67+66+53+49+37+20+19+5+1=65+64+63*2+62+60*2+59*2+57*5+56+55*2+54+48*3+47*4+46*3+45*2+44*3+42*2+41*3+40*4+39+38+36*5+35*4+34*2+32+30+29+28*3+25*2+24+23+21+18*2+15+14*3+13*2+12+11*2+9+6+2 (Greg Childers, 12/13/2000)
(25,10,80) 62*2+54+24*2+20+13*2+10+6=60*2+58+57*4+56*2+55*3+53*5+52*2+51*3+50+49*3+48+47*3+46+45*2+44+43*2+42+41*2+40*2+36*5+35*5+34+33+32*4+31*2+30+29+28+26+25*2+19+18*2+17*4+16+15+14+4+3*3+1 (Greg Childers, 12/07/2000)
(25,11,76) 74+72+69+48+30+27+23+22+12+11+5=73+71+68+66*4+65*3+64*3+63+62+61*2+60+58*2+57*4+56+55+54+53*2+52*2+51+50+47+46*2+45*4+44+39*2+38+36*2+34*2+32+29*5+28*2+26*3+20*2+19*2+17+16*2+14+10+9*2+8+7*3+3+2 (Greg Childers, 10/21/2000)
(25,12,70) 75+72+49+30*2+13+9*3+5*2+1=71+70*2+69+68*2+67*3+66*3+65*2+64*3+63+61+60+59*4+58+57+56*4+54+53+52*3+51*2+48*2+47+45+44+39*2+38+36+35+33*2+27+26+25+24+22+21*2+19+15+14*3+12+8+7+6+4*2+3*2+2 (Greg Childers, 10/21/2000)
(25,15,69) 85*2+67+51+47+38+28+26*2+21+20+5+4+3+1=86+80+79+76+75*2+74*2+73+72+71+70*2+65*2+64*2+63*3+62*2+59*3+58+57*2+56+55+54*4+52*2+50+49+48*2+46*2+44+41*2+37+36+35+34*2+31+27*2+24+22*2+19*3+16+14+13+12*3+11+8+7*2 (Douglas McNeil, 11/19/2000)
(25,16,67) 80*2+78*2+41*2+36+31+25+20+17*3+12+9+5=79*2+76+75*4+74+73+72*2+69*3+67*2+66+65*2+64*4+63*2+61+60+59+56+53+52+51+50*3+48*2+46*2+45*3+44+40+39+38*2+37+34*2+33+32*3+30+28+27*4+24+23+18+15*2+13+1 (Greg Childers, 10/11/2000)
(25,23,32) 70+66+63+62*3+60*2+58+57+51+46+45+41*3+30+28+22+21+12+8*2=68+67*3+59+54+48+47+44*2+40+38*2+33+32+29+27+24+23*2+16*3+15*4+9*2+6*2+4 (Greg Childers, 10/11/2000)
(25,26,33) 70+67+66+65+63+62+60*2+54+52+51+50+47+46+44*3+32+28*2+26+19*3+16+3=69*2+68+56+53*2+49+48+43+42*4+40+35*3+34+33*2+31+29+27*2+20+17+15+14+13+7+6*2+2 (Greg Childers, 10/09/2000)
(25,27,33) 69+65*2+63*2+55*3+45+42*2+41*3+39+36+30+28+27*2+24+15+12+11+10+9+7=68+67+66+64+56+54+53+52+50+47*3+43+40*2+35+33*2+29+22+18+16+8+6+5+4*2+2*4+1*2 (Greg Childers, 10/08/2000)
(25,28,33) 69*2+66+65+61+57+53+52+51*2+50+48+47+46+41*2+40+34+33+32+30+24*2+15+10*2+6+2=70+68+64*3+56*4+55+54+45*2+44+38+31*2+29*2+28+25+19+17+16*2+12+11+7*3+5+1*2 (Greg Childers, 10/08/2000)
(25,29,31) 68+67+66+64+57+56*2+50*3+49+48+47+39+38+36*2+34*2+32+30*3+25+17+14+4+3+1=70+62*2+61+60+58+55*3+54*2+52+46+45+37+35*2+29+26+24+23*3+22+19+13+9+7+6*2+5 (Greg Childers, 10/08/2000)
(26,1,160) 61=57+56*5+55+54+53+52*5+51*3+50*4+49*3+48*4+46*3+45+44*3+43*4+42*5+40*3+39+38*4+37*3+36*2+34*7+33*7+32*3+29*2+28*2+27*6+26*7+25*2+24+23+22+21*6+20+19+17+16*5+14*2+13*7+12*3+11*4+10*4+9+8*9+6*4+5*5+4*7+3*2+1*2 (Torbjörn Alm, 01/28/2001)
(26,2,150) 61+58=60+57*3+52*2+51*3+50*2+49*5+48*5+47*3+45*5+44*2+43*2+42*6+41*2+39*4+38*2+37*7+36*2+35*10+34+33*3+32*2+31*2+26*9+25*2+24*2+22+21*4+20+19*6+17*3+16*8+15*3+14+13*3+11*6+10*7+9+8*2+6+4*2+3*3+2*10+1 (Torbjörn Alm, 01/28/2001)
(26,3,143) 60+42+36=58+56+55+54*2+53*2+52+51*2+50*2+49*2+48*5+47+46*6+44*4+43*8+37+35*8+34*3+33+32*2+31+30*8+29+28*7+27*2+26+24*8+23*4+21*3+20+19*7+18+17*2+16*5+15*2+14*3+11+10*4+9*3+8*2+7*5+6*3+5*3+4*6+3*4+2*3 (Torbjörn Alm, 01/28/2001)
(26,3,143) 59+20+8=57+54*3+52*5+51*2+50+49+48*3+47*5+46*5+45+44+43+42*2+41*4+39*4+38*9+37*6+36*5+35+34*4+33*3+31*5+30*2+29*3+26*2+25*2+24+23*8+22*7+21*11+19+17+16+14*4+13*4+12+11*2+10+9*3+7*2+6*5+5*2+4*2+2*6 (Torbjörn Alm, 01/28/2001)
(26,4,116) 47*2+41+28=45*3+44*3+43*3+42*3+40+39+38*7+37*5+35*2+33*4+32*2+29+27*2+26*2+25*8+24*5+23+22*5+18*6+17*4+15+14*8+12+10*2+9*2+8*5+7+6*7+5*7+3*8+1*6 (Greg Childers, 12/10/2000)
(26,6,115) 60+58+33+28+26+25=57+55*6+54*5+53+51*6+50*3+49*2+48*8+47*7+45+44*3+43*4+42*2+41*2+40+38+37*2+36*2+35*7+34*3+32+31+29*3+27*3+23*3+21*4+19*2+16*2+15*3+14*2+13*5+12*2+11*3+10*2+9+8+7*2+6*3+5+3+1*3 (Torbjörn Alm, 01/28/2001)
(26,7,108) 59+58*2+53+36*2+8=57*3+56*2+55+54*2+52*3+51+50*3+49*5+48*4+47*2+46+44*4+43+41*2+39*5+38*7+37+35*6+34+32*2+29+27*2+26+24*4+22*8+21*8+20*2+19+18+17*2+16+14*3+13*2+12+11*5+7*2+4*8 (Torbjörn Alm, 01/28/2001)
(26,9,81) 48*3+38*2+18+11+8+3=47*2+46*4+45*2+43+42*2+41+39*3+36*2+34*4+33*3+32+27*7+26+25*5+24*4+22*6+21*2+20+19*2+17*4+16*2+15*3+14+12*2+9*4+6+5+4*3+2*5+1*2 (Greg Childers, 11/25/2000)
(26,11,75) 51+49+40+35*2+33+16*2+15+5+3=50+48*2+46*3+45*3+43+41*3+37*4+34*8+32+30*2+29*3+27*2+26*3+25*7+22+21*2+20+19*2+17*4+14+12*5+11*4+10*5+9+7+4+2+1*3 (Torbjörn Alm, 11/25/2000)
(26,13,70) 52+50+48*2+47+45*3+44*2+37*2+5=53+46*3+43+42+40*2+39+36+34*5+33+29*3+28+27+25*2+24+23*3+21*6+20*2+19*6+17+15*2+12*3+9*7+8*5+7*3+6*5+2*2+1 (Torbjörn Alm, 10/18/2000)
(26,14,64) 61+59+57*3+47+39+36+31+17+6+5+3+2=60+58*4+55*2+54+51+50*2+49*2+46*2+45+44+43+42+41+35*3+34+32*3+30*2+29*2+28*3+27+25+24*3+22*2+21+18+16+14*2+13+12+11*5+10+9+8*3+4*2+1*4 (Greg Childers, 12/03/2000)
(26,15,63) 70+69+58+57+44*3+39+37+32+31+26+21+12+10=68+67*2+66+64*2+62+61*2+60*4+55*3+51*4+50+43+42+41+40+38+35*2+33*2+29*2+23*2+20+19*3+18+17+16*2+15*3+14*2+13+11+9+8+7+6*3+4+3*3+2+1*3 (Greg Childers, 10/11/2000)
(26,16,61) 55+54+40+33*2+30+28+26*4+25+23+20+11+9=53*3+50*5+48+46*2+44+43+42*2+41*2+38*5+37*3+36*2+35*2+34+32*2+31+27*3+22*2+18+17*2+16+15*3+14*3+12*3+8+6*5+5*3+2 (Fumitaka Yura, 11/14/2000)
(26,21,51) 56+50*4+44*3+38*2+35*2+30+24+22+21*2+16+14+7+4=55+53*2+51+47*2+43*2+42+40*2+39+37*3+34+33*3+29*2+28*2+26+25*2+23*3+20+19+18+17+13*2+12*3+10*2+9+8*6+6+5+3+2 (Torbjörn Alm, 01/28/2001)
(26,21,51) 58*2+54+52*4+50*3+48*3+41+40*2+29+17*2+10+3=60+51+49+47*2+46+45+43*2+39*3+36+35+32*2+31*2+30+26*2+24*5+23+22+20+19*3+16*2+15+13+12+11*3+9*2+8*2+5+2*2+1*4 (Torbjörn Alm, 10/30/2000)
(26,23,48) 57+56*3+53*3+49+46+42+41*4+40*3+38+26*2+16+10*2=59+55+54+52*2+51+50+47+39+37+36+35+34+33+32*2+30*2+29+28*2+25+23+22*2+21*3+19*2+17+14*2+13*3+12+11*2+9*2+6*5+2+1 (Torbjörn Alm, 01/28/2001)
(26,25,33) 75+72+66+65+64+47+41+38*3+37*2+31*2+30*4+22*2+20+19+16+13+6=74*2+62+60+57+56+54+49+36+33+29*2+28*4+27+26*3+18+17+15+14*2+12*5+10+5*2 (Greg Childers, 10/25/2000)
(26,26,28) 98+94+90*2+87+78*2+69+66+62+51*2+49*2+45+41+34*2+32+31+28+24+20+15+3*2=99+92+88+85+84+79+77+76+75+71+70+56+48+42+38+36+30+29+25+18+16+14+12+11+9+8+7+1 (Torbjörn Alm, 11/03/2000)
(27,1,182) 35=32*5+31*11+30*2+29*11+28*12+27*7+26*14+25+23*9+22+21*17+20*3+19*4+18*6+17*5+16*13+15*16+14*2+13*5+12*5+11*3+10+9*5+8*2+7+6+5+4*5+3*4+2*5+1*5 (Fumitaka Yura, 11/26/2000)
(27,2,163) 58+15=55+54+53*5+51*3+50+49+48*7+47*2+46+45*3+43*4+42*4+40+38*4+35*2+34*5+31*5+30*7+29*14+28*5+26*3+25*3+24*6+23+22*2+21+20*6+19+18+17*6+16*7+13*7+11*5+10*3+9*3+7*10+6+5*11+4*4+3*3+2+1*2 (Torbjörn Alm, 01/16/2001)
(27,3,140) 57+40+32=55+53+52*3+51*2+50+49+48*3+47*8+46+44+43*7+42*4+41*3+39*6+38+37+35*4+34*3+33*3+31+30*3+29*8+28*5+25+24+23*3+21+19*3+17*7+16*3+14*2+13*3+12*3+11*3+10*4+9*2+8*3+7*4+6+5*8+4*6+3*3+2+1*7 (Torbjörn Alm, 01/16/2001)
(27,7,133) 58+55*3+53+52+25=59+54+51+50+49*2+48*5+47*4+46*2+45+44*5+43*2+42*4+40*3+38*2+37*7+36*6+35+34*6+32*2+31+30+28+27+26*2+24*4+22*4+21*2+20*3+17*6+16*3+15*2+14*3+13*4+12*5+11*4+10*4+9*2+8*5+7*4+6*4+5*2+3*3+2*2+1*5 (Torbjörn Alm, 01/16/2001)
(27,8,101) 54*2+45+34*2+31+4*2=52+51*4+50*5+48*2+47*2+46*2+44*2+40+39*3+38*4+37+36+33+32*2+28*10+27*4+24*3+22*2+21*3+20*2+19*6+18*6+16+15*2+14*2+13+12*4+11+10*4+9*3+7*4+6+5*4+3*3+2*4 (Greg Childers, 12/01/2000)
(27,9,87) 57*2+54+51+29+25+19+5+1=55*4+53*3+52*2+50*4+48*2+47*2+46*4+45*5+42*3+41*2+40*2+39*4+38+37*4+36+35*7+34+33*3+30+28*2+27+26+21*2+20+18*3+17*2+16*2+15*2+12*3+11*3+10*3+9*2+8+4*4 (Greg Childers, 12/08/2000)
(27,12,63) 73+70+59*3+48+34*2+29+7+4+3=71+69+68+67*3+66+65*2+63*2+60+56+55+54*2+53+52+50*2+49*2+47+46+44*2+43*2+41*2+39*3+37+35+28+27+24+22*3+21+19*5+18*2+17+14+13+10*2+9*2+8*2+5*2+2*2+1 (Greg Childers, 12/07/2000)
(27,16,56) 67+64+62+56+55+48+46*2+23+17+15+13*2+2*2+1=66+65+63+60*2+57*2+51+50*2+49*3+44*4+43*2+42+39+38+37*6+36+35+32+29*3+27*2+25+22+19+18*2+16+12*3+10+9*2+8*2+7*2+5*2+4+3 (Greg Childers, 12/10/2000)
(27,24,44) 61*2+55*2+54*2+53+52+42*2+40+37+36+27+24*3+22*3+18+15+4*2=62+58*2+57+49+48*3+46*2+45+43+35+33*2+31*3+30*2+28+26+23*2+21*2+19*3+16+13+10*2+8+7*2+5*4+3*2+1*2 (Joe Crump, 10/07/2000)
(27,25,39) 74*2+68+61+55*2+54*3+51*2+48+47*2+43+30*2+29+22+21+11+10*2+2+1=73*3+64+62+58+57+56+49+42*3+41*2+40+37+36+34+33*2+32*2+28+23*2+19+18+17*2+14*2+13+12+6*2+5*2+4*2 (Greg Childers, 10/13/2000)
(27,28,35) 72+68+66*2+63*2+59+55+52+51+45+36+35+27*2+24*2+20*3+18*2+13*2+9+8+3*2=73+61+57+47*2+46*2+43+42+40+38+29+26*3+23*3+21+16*2+15+11*3+6*4+5*2+4*3+1 (Torbjörn Alm, 10/25/2000)
(28,1,207) 72=69+67+66*4+65+64*2+62*2+61*3+60*2+59+58+57+55+54*4+52*5+51*6+50*4+49*6+48*3+47*2+46*4+45*5+44*5+43*4+42*4+41+40*5+39*9+38*5+37*3+35*6+34+33+32*3+31*2+30*7+29*2+28+27*2+26*3+25+23+22*3+21*3+20*4+19*3+18*4+17*4+16*10+15*2+14*7+13*4+11+10*5+9*4+8*8+7*3+6+5*3+4*2+2*2+1*9 (Torbjörn Alm, 01/28/2001)
(28,1,207) 69=66+64*3+63*2+61+60*5+59+58+57*3+56*5+55+53*2+52*8+51*10+50*9+49*3+48*6+47*7+46*2+45*4+44*4+43*2+42*5+41*3+40*4+39+38*2+37*7+36*9+35*2+32+31*2+30*5+29*2+28+27*2+26*2+24*5+22*4+21*5+19+18*3+17*4+16*2+15*2+14*4+13+12*2+11*7+10*4+9*6+8*2+7*6+6*5+4*4+3*6+2*2+1*4 (Torbjörn Alm, 01/28/2001)
(28,1,207) 69=64*2+63*2+62*4+61*6+60*6+59*5+58*2+57+55+53*2+52*4+51*5+50*12+49+48+46*2+44*3+43*5+42+41*2+40*2+39*4+38*2+37*2+36*5+35*2+33*5+32*7+31*5+30+29+28*8+27+26*6+25*2+24+22*6+21*2+19*5+18*3+16*2+15*5+14*4+12+11*7+10*4+9*4+7*5+6*9+5*6+4*9+3*6+2*3+1*5 (Torbjörn Alm, 01/28/2001)
(28,2,204) 65+58=61*4+60+59*2+57+56*4+55*2+53*3+52*3+50*4+49*3+48+47*7+46*3+45*6+43+42*5+41*5+40*2+39*4+38*2+37*8+36*3+35*7+34*2+33+32*7+31*7+28*6+27*4+26*4+25+24*10+21*3+20*3+19*2+18+17*9+16*5+14*8+13*2+12*5+10*7+9*9+8*4+6+4*6+3*6+2*10 (Torbjörn Alm, 01/26/2001)
(28,3,187) 72+61+10=70+68*2+67+58*2+57*5+56*2+55*4+54*4+52*7+51*4+50+49*3+48*8+47*6+46+45*2+44*3+43*4+42*4+41*7+40*3+39*14+38*3+37+36*4+34+33+32*3+31*2+30+29*8+28*2+27+26*6+25*5+24*3+22*2+21*3+20*3+18+16*7+15*17+14*4+13+12*4+8*3+7*2+5*3+4*2+3+2*3+1*2 (Torbjörn Alm, 01/28/2001)
(28,4,177) 70+68+29+7=67+66*3+64*4+63*2+61+60*3+59*6+57*7+56+55*4+53*2+52*7+51*3+49+48*2+45*4+44*6+42+41*3+40*4+38*2+37*2+36*2+34*3+32*2+31*3+30*10+28*6+27*7+26*7+25*3+21*4+20*2+19*5+18*5+17*3+16*2+15+14*5+13*7+12*6+10*4+9*7+8+6*4+5*4+4*3+1*2 (Torbjörn Alm, 01/28/2001)
(28,6,178) 72+67*2+58+29+9=71+68+66*3+63*3+62+60*3+59*2+57*6+56*3+55*8+54+52+51*5+49+48*5+47*2+44+43*6+42*9+40*2+39*8+38*3+37*4+36*3+34+33*5+32*2+31*5+30*2+28*3+26*8+25*3+24*2+23*4+22*4+20+19*4+18*7+17+16+15*12+14*6+13*3+11*4+10+8+7*3+6*2+5*5+3*2+2+1*3 (Torbjörn Alm, 01/28/2001)
(28,7,124) 71*3+54*3+50=72+69*2+66+65*4+63*2+62*2+60*2+59*2+58+57*3+53*5+52*2+51*4+47+45+44*5+42*2+41*5+40+38*5+37*3+35*3+31*3+30+28*5+26*5+25+24*3+22+21*4+20+19*2+18+17+16*2+15*6+14*3+13*4+12+11*2+10*6+9*3+7*2+6*2+5*2+2*4+1*2 (Torbjörn Alm, 01/28/2001)
(28,11,99) 55+50+40+33+23+22+18*5=53*2+51+49*2+48*5+46*4+45*2+44*7+42*4+41*2+39*2+38*2+35*2+34+32*5+31*2+30+29+28*5+27*2+26*2+25*3+20*3+19*2+16+15*3+14*4+12*3+10*4+8*2+7*5+6+5*3+4*8+3+2*2 (Fumitaka Yura, 11/14/2000)
(28,13,98) 55+54+46*2+43+36+29*2+4*2+3+1*2=52*6+51*2+50+48*2+45+44*3+41+38*5+37*10+35+34*7+32+31*3+28*5+26*3+25+24*3+23*4+22+21*2+20*3+19*3+18+17*2+16*2+15*4+12*6+11+9+7*3+6*6+2*4 (Greg Childers, 11/27/2000)
(28,14,74) 68+65+55+51*2+49+41+40*2+36+30+27+17+3=66*2+64+63+61*2+58+56*2+54+52+47*3+45*3+44*2+42+39+38+37*4+35*2+34*2+33*2+32*2+31*2+29+26*4+25+23+22+20*2+19*2+18*3+16*3+15*5+14*3+13*2+11+10+9*2+7*2+5+1*3 (Greg Childers, 10/11/2000)
(28,15,73) 59+58*2+49+47+23*2+18+14*2+10*2+4+1*2=60+57+53*2+52*4+51+50*2+48*3+45*3+44*4+43*4+41*4+40+39*2+37*2+36*4+32+31+29*2+28+25*2+24+22+21+20+19+16*4+15*3+13+11*4+9+8+7*2+6*2+5*2+2*3 (Greg Childers, 10/09/2000)
(28,16,74) 54+53+52+50+39*2+35+30+19*2+11+10*5=55+51+48*3+47+46*2+45*2+44*3+43*4+38*7+36+34*2+32*2+31+26*4+25*2+23+21+20*3+18*5+17+16*5+15*2+14+13*2+9+8*3+6*6+5+4*3+3+2+1 (Fumitaka Yura, 11/14/2000)
(28,21,79) 68+60+57*2+56+51+48+43*3+42+41+33+25*3+20+19+12+6*2=67+63+62+61*4+55+54+49*2+47+45*5+44*4+39*3+38+37*2+34*2+32+30+26*6+24*2+23+18+16*3+15*7+14*4+13*3+11*6+10*2+9*2+8*4+7*2+5*2+4*2+1 (Torbjörn Alm, 01/28/2001)
(28,21,79) 68+63+55+53*3+49+40+35+31*3+25*2+20*2+12*3+2+1=67+62*4+61+60*2+59*2+57*2+54+50+48*2+47*3+46*2+44*6+43*3+39+38*2+37*3+36+33+30*8+28*2+27*2+26+23*3+18*3+16*6+14*2+13*2+11*5+10*4+8*3 (Torbjörn Alm, 01/28/2001)
(28,22,79) 70+67+64*3+58+54*3+49*2+45+41+36+35+30+28+27+25+24+19+5=71+61+60*2+57+56+55*2+53*2+52*3+50+48*2+47*3+44+43+42*3+37*3+33*3+32*2+31*2+26*5+22*2+21+20+18+17*4+16*5+15*7+14*3+13*3+12+11+9+8+7+6+4+2+1*5 (Torbjörn Alm, 01/28/2001)
(28,23,77) 71+70*2+66+64+63+58+53+51+50+31*2+29*3+20+12*4+7+5+4=72+69*2+65+62*2+61+60*3+59*2+57*2+56*2+54*2+49+48+47+46*4+44*5+43+42+40*2+39+38*2+36*3+32+30*4+28+27*5+26+23+22*2+21+19+18+16*4+14+13*2+11*3+10*4+8*3+3+1 (Torbjörn Alm, 01/28/2001)
(28,25,55) 66*2+65*2+61*2+47+44+41+40+33+32+24+22*3+21+18+14+7+3*4+2=67*2+64+58+56+54*4+51*2+50*3+49*3+46*3+45*3+43*3+38+36*2+31+30*2+26*2+25+23*3+20*2+19*2+17*3+15+13*3+9+8*2+6+5+4 (Torbjörn Alm, 01/28/2001)
(28,27,55) 71*2+69*2+66+63*3+58+54+50*2+36*3+34+30+26+22+21+20+13*2+4+3*2+1=72+70*2+67+62+61*2+60*5+59*3+56+55*2+53*2+52*2+51+49*3+47+46+43+40+39+38+37+35*2+27+25+24+23+19+17+16*2+14+12+10*3+9*3+6+5+2*2 (Torbjörn Alm, 01/28/2001)
(28,30,54) 66+63+62+61+58*2+54+47+46+45+43+41+40+36*4+34*3+32*2+29*3+24+23*2+17+6=67+59+57*2+55*2+50*2+48*2+39+37+35+33*2+30+26*3+25+22+20*2+19+18+16*3+15*3+13*3+12*2+10+8*3+7*2+5*3+4*2+3*2+2*3+1*2 (Torbjörn Alm, 01/28/2001)
(28,33,33) 79*2+73+65*2+63+61+59*2+50*2+44+42+40*3+38*2+35+33+32+26+18*2+17+14*2+13*2+2*3+1=78*2+77+74+71+69+57+54+52+48*2+47*2+46+45+41*3+34+31+20*3+16+15+11+10+8+6*2+5*2+4 (Greg Childers, 10/16/2000)
(28,33,33) 78*2+77+74+71+69+57+54+52+48*2+47*2+46+45+41*3+34+31+20*3+16+15+11+10+8+6*2+5*2+4=79*2+73+65*2+63+61+59*2+50*2+44+42+40*3+38*2+35+33+32+26+18*2+17+14*2+13*2+2*3+1 (Torbjörn Alm, 01/26/2001)
(29,1,173) 64=61*2+59*4+58+55*2+54*3+53*2+52*3+51*3+47*4+46*5+45*4+44*2+43+41*8+40*3+39*3+38*3+37*2+34*2+33*2+32*4+31+30*2+29*7+27*8+26*4+25+23*4+22*2+21*5+20*3+19+17+16*2+14*12+13*7+12+11+10+9+8*11+7*3+6*7+5*17+4*3+3*2+2+1*2 (Torbjörn Alm, 01/28/2001)
(29,5,167) 61+60+48*2+42=59*2+58*3+54*2+53+52*7+51*2+49*4+47*5+46*2+44*5+43*5+41*4+40*2+39*3+38*9+37*5+36*4+35*7+33*2+32*6+31*4+30*2+29*3+28*2+26*4+25*4+24*2+22+20+19*5+18*5+17*3+16+15*2+14*2+12*4+11*3+10*3+9*4+7*6+6*4+5*3+4*2+3*5+2*3+1*9 (Torbjörn Alm, 01/28/2001)
(29,7,163) 50*2+48+40*2+20+18=49*3+46+45*9+44+43*5+42*2+41*7+38*8+37*6+36+35+31*5+30*2+29*6+28*5+27*2+26+25*4+23*9+22*6+21*8+19+17*2+16*3+14*3+13*8+12*9+11*10+10*12+9+8*4+7+6*6+5*5+4+2*2+1*3 (Greg Childers, 11/23/2000)
(29,8,152) 61+58+48+40+8*4=60+57*2+55*3+54*2+52*6+51*11+50+47*4+46+45*4+44*4+43*4+42*3+41+39*7+38*2+37*3+36*2+35*2+34*5+33*4+31*7+30+29+28*4+26*3+25*9+24*5+23*3+22*5+20*3+19*2+18*5+17+16+15*4+12+10+9*2+6*5+4*8+2*4+1*5 (Torbjörn Alm, 01/28/2001)
(29,9,150) 64+44+42*4+39+36+33=60+59*5+58*3+57*3+56*3+54*2+53+52*4+51+50+49*6+48*3+47*2+43*2+41+40*4+38*4+37*2+35*4+34+31*3+30*3+29*2+28+27*2+26+25*5+24*3+23*2+22+21+20*2+19*2+18*3+16*2+15*2+14*5+13*5+12+11*8+10*5+8*7+7*2+6+5*14+4*9+3*2+2*2+1 (Torbjörn Alm, 01/28/2001)
(29,11,117) 64+61+60*2+44*2+21*3+10*2=62*2+59*2+58*4+57*6+56*3+55*3+54*2+53*3+52+51+49*3+46*2+45*2+42*3+41*2+40*6+39*2+38*2+37*4+36*2+35*5+33*4+32*3+30*5+29*2+28+27*7+26+24+23+20*3+18*2+16*5+15+13*4+11*2+7+6*3+5*4+4*2+2*2+1*3 (Greg Childers, 12/03/2000)
(29,12,102) 55*2+53+45+32+30+29+18+9+8+2*2=54*2+52*3+51*3+50+49*3+48+47*4+46+44*2+43*2+42*6+41*8+40*3+39+37+36*2+35+34*4+33*8+31*2+26+25*2+24*2+23*2+19*2+17*2+16*3+15+14*2+13*4+12*5+7*3+6*4+5*4+4*4+3*2+1 (Greg Childers, 12/10/2000)
(29,13,96) 62*2+55+34*2+33*2+20+12*2+11+9+1=60*2+59+58*6+57+54+53+52*2+51*5+50+49*4+47*3+46+45*2+44*4+43*2+41*2+40*2+38*2+36*2+31*3+30*3+29*2+28+27*2+26+25*2+23+22*7+21+19+17*2+14*5+13*3+8*3+6*2+5*5+4*3+3+2*4 (Greg Childers, 11/29/2000)
(29,14,89) 68*3+64+59+54+52+50*2+44*2+24+20+15=67*2+66*2+65*3+63+61*2+57*4+56*3+55+53*6+51*2+49*4+48*2+45*4+43*2+42+39+38*4+37+36*2+35+34*2+33*2+32*4+30*2+29*2+28*2+26*2+23*4+22*2+19*2+18*2+14*3+13+12*2+10*4+8+4*3+1 (Greg Childers, 12/13/2000)
(29,16,84) 57+43+39*2+36*4+34+19+15+13*2+2*2+1=56+52*2+51*3+50*4+49*3+48*2+45*2+42+41*3+37*3+35*3+33*5+32*3+31*5+27*2+26*3+23+22*3+20+16*4+14+11*5+10*2+9+7*5+6*9+4*5+3*2 (Fumitaka Yura, 11/19/2000)
(29,25,93) 53+48*3+44*2+38*2+36+35*4+30*4+25+24*3+10*2+7+5=51+49*7+46*4+45*6+43*4+42+41*3+40*4+39*3+37*5+34*2+32*6+27*5+23+22*5+21+20+19+17+16*2+13*9+9*3+8*6+6*5+3*6+2 (Torbjörn Alm, 10/30/2000)
(29,26,80) 56*2+45*6+40+31*2+29*3+24+20+16*2+15*2+12+11+8*2+3+1=55+54+53*2+52*3+51*3+49*3+48*3+47*2+46+44+42*5+41*5+39+38+37*2+35+32+30*5+28*2+27*3+26*2+23*2+22*2+21+19*4+18*6+17*6+14*3+9*2+7*4+2*2 (Torbjörn Alm, 01/03/2001)
(29,28,47) 69+63*4+60+58*3+46+43*2+42+41*2+32+25+23+20+15*3+6*3+4*2+2=67*2+65+64+62*3+61+59+56*2+53*4+51+50*2+49*4+47*3+40*2+39+36+31+30+26+22+21*2+19*2+18+17+16+14*2+13+11+10+9+7 (Greg Childers, 10/09/2000)
(29,30,40) 85*2+84+73+71+68*2+67+62+61+50*2+40+39+36+34+24+17*2+16+10+9+8*3+6+5*2+2+1=83+82*4+80*2+79*2+78*2+76+75+70+65+55+54+52+49+48*2+47+45+44*2+38+37+33*2+29+28+27+23+19+18+15+11+4*2+3 (Greg Childers, 10/17/2000)
(29,34,35) 83+81+76+75+74+73*2+70+65+59+57+56+52*2+48+46+42+33+31*4+24+21*3+20+15*2+14+4*2+3+1=84+78+77+72+69+64+63+62+58+54*3+44+43+41*2+37+35*4+34+30*2+28+25+23+19+17*2+16+11+10+5+2 (Torbjörn Alm, 10/25/2000)
(30,1,312) 69=66+64*3+63*2+61*3+60*3+59*4+58*14+57*7+56*11+55*3+54*7+53*15+52*5+51*2+50*5+49*8+48*14+47*7+46*2+45*2+44+42*5+41*5+40*4+39*3+38*5+37*14+36*3+35*6+34*9+32*10+31+30*7+29+28*5+26+25*7+24*4+23*3+22*2+21*3+20*4+19+18*10+17*10+15*6+14*4+13*10+12*4+11*7+10+9*5+8*11+7+6*3+5*2+3*5+2*9+1*2 (Torbjörn Alm, 01/26/2001)
(30,2,284) 54+53=52*3+50*5+49+46+45+44*5+43*22+42*8+41*2+40*4+39*7+38*8+36*7+35*4+34*5+33*7+32*4+31*3+30*3+29*6+28*12+27*5+26*2+25+24*2+23*5+22*9+21*5+20*3+19*20+18*6+17*3+16*2+15*18+14*5+13*6+12*13+11*19+10*5+9*3+8*3+7*2+6*7+5*2+4*8+3*2+2+1*9 (Torbjörn Alm, 01/03/2001)
(30,3,257) 54+53+2=52*3+51*3+46+45*2+44*9+43*19+42*9+41*4+40*8+39*8+38*5+36*2+35*8+34*8+33*4+31*6+30*3+29*6+28*6+27*4+26*3+25*5+23*4+22*5+21*6+20+19*16+18*3+17*3+16*2+15*11+14*5+13*10+12*9+11*16+10*8+9*4+8*3+7*3+6*4+5+4*7+3*3+1*7 (Torbjörn Alm, 01/03/2001)
(30,4,253) 70+20*2+11=67*2+64*2+63*3+62+61*5+60*7+59+58*3+57+56+55*2+54*5+50*9+49*3+48*6+47*4+46*2+45*2+44+43*9+42*5+41*7+40*7+39*8+37*13+36*6+34*2+33+32*2+30+29*4+28+27*2+26*8+25*2+24*4+23*6+22*4+19*7+18*14+17*8+15*10+14*13+13*6+10*2+9+7*14+6*3+5*3+4*4+3*8+2*3+1*5 (Torbjörn Alm, 01/26/2001)
(30,5,223) 50*4+26=49*5+48*2+47*3+46+45+44+43+42*7+41*4+40*5+39*3+38*11+37*3+36*4+34*2+33*4+32*4+31+30+29*14+28*4+27+25*3+24*6+23*6+22*11+21*7+18*14+17*11+16*8+15*10+14+13*8+11*4+8*2+7*5+6*6+5*9+4+3*8+2*4+1*17 (Greg Childers, 11/22/2000)
(30,6,198) 70+66+59+33+12+2=68*2+65*2+62*3+60*2+58*3+57*5+54*3+53*3+52+51*9+50+49+48+47+46*3+45+44+43*2+42*4+41*7+40*3+38+36+35*7+34*5+32*4+31*3+30+29+28*3+27+26*2+25*8+24*4+22*2+21*6+20*5+19*6+18*4+15*10+14*2+11*4+9*7+8*9+7*23+6*3+5+4*3+3*7+1*7 (Torbjörn Alm, 01/26/2001)
(30,7,198) 65+64+46*2+44+37+23=63*2+62*2+61+59*2+57*2+56+55*6+54+52*3+51+50*7+49+48*2+47*8+45*3+43+42+39*8+38*2+36*10+35*6+33*2+32*7+31*3+30*10+29*3+28*2+27*3+26+25+24*15+22*8+21*6+20*3+19*2+18+17*2+16*3+15*3+14+13*7+12*8+10*6+9*9+8*5+7*3+6*3+5*3+4*4+3*2+2+1 (Torbjörn Alm, 01/26/2001)
(30,8,194) 48*2+47+39*4+34=46*5+45*3+44+43*9+42*12+41*9+38*6+37*6+36+35*8+33*8+30*2+27*7+26*8+25*4+24*12+23+22*12+21*8+19*6+18*8+17+16*7+15*3+14*6+13*4+12*7+10+9*3+8*7+7*5+6+5*8+4*4+2 (Torbjörn Alm, 11/23/2000)
(30,9,169) 48+44*2+17*5+13=46*2+45*3+43+42*2+41*5+40*7+39+38*6+37+36*8+34+33*10+32+31*5+30*4+29*6+28*7+27*2+25*4+24*2+23*5+22*3+21*10+20*5+19+18*5+16*2+15*8+14*5+12*2+11*6+10*2+9*5+7*3+6+5+4*5+3*17+2*5 (Torbjörn Alm, 11/26/2000)
(30,10,164) 49*3+41+31+29+24+19+9*2=47*6+46+45*7+44*10+43*9+40*6+39+38*2+37*5+36+35*2+33*3+32*7+30*4+28*8+27*5+26*3+22*6+21*2+20*2+18*2+17+16*8+15*9+14*2+13*3+12*15+11*3+10*2+8*2+7*3+6*5+5*8+4*4+3*4+2+1*2 (Greg Childers, 11/20/2000)
(30,11,135) 48+34*4+2*6=47+46+44+43+42*2+40*4+39*10+38*3+37*4+36*7+35*6+33*2+32*2+30*7+28*3+27*3+25*5+24*5+23+22*7+21*8+20*2+18+17*2+16*2+13*8+12*5+11*4+10*4+8*7+6*3+5*6+4*5+1*3 (Greg Childers, 11/30/2000)
(30,12,106) 53+50*2+36*5+32+27+24+17=51*3+49*2+48*3+47+45+44*3+43*5+42*2+41+40*2+39*3+38*6+37*2+35*3+34*7+33*2+31+30*7+29+28+25*2+22+21*9+19*5+16*3+15*3+14*5+10*3+9*5+8*2+7*2+5*2+4+2+1*6 (Fumitaka Yura, 11/14/2000)
(30,16,80) 66*5+53*2+52+50*2+47*2+15+12*2+11=68+65*3+62*2+59*7+58*3+57*2+56+55*2+54*2+51*3+48*4+46+45+42+40*2+38+37*2+36+35+34*2+28+27*3+26*3+24*2+23*2+22*2+21*2+20*3+16+13+9+7*2+6+5+4*5+3*4+2*3+1 (Torbjörn Alm, 11/17/2000)
(30,28,90) 49*2+44+40*7+39*3+24+23*2+15*2+6*4+5+4*5=48+47*4+46*2+43+42*2+41*7+38+35*6+34*3+33*4+30*2+29+28*2+27*3+26*3+25*5+22+21+19*6+17+16*4+12*2+11*3+9*2+8*7+7*4+3+2*10+1 (Torbjörn Alm, 10/30/2000)
(30,30,91) 68+67+66*2+65*2+64+63+60*2+59+56*3+55+49+47*2+44*2+33*3+31*2+30+26+6+4*2=69*2+62+61*3+58*3+57+54+52*2+51*2+50+48+46+43+42*5+40*2+39*3+38*4+37+36*3+34+32*3+29+28*5+27*3+24*3+23*2+22*2+21*3+19+18*2+17*2+16*4+15+14+12*3+11+10+8+7*3+5*3+3*2+2*3+1*3 (Torbjörn Alm, 01/26/2001)
(30,33,65) 57*2+51+48+46*5+42+34+32*5+30*2+25+24+23*2+15+14*2+13+12*3+8+7*3=58+54+52*2+50+49+47*2+44*5+43*3+41*7+40*2+39*2+38*4+33*4+31+29*2+28*2+22+20+19+16*3+10*6+9*10+5+4+1 (Joe Crump, 09/26/2000)
(30,35,37) 82*2+77*2+74+71+68+60+59*2+54*2+52*2+51+50*3+49*3+45+41+40*2+19+13+12+9+8*2+7*2+6+4=83+79+78*2+76+72*2+69*2+63+58+57+56+55+53*2+48+44*2+34+31*2+29+26+25+22+20*3+16*2+15+10*3+5*2 (Greg Childers, 10/13/2000)
(31,1,339) 87=82+81*3+80+79*4+78*2+75*2+74*5+73*6+72*15+71*15+70*9+69*7+68*4+66*2+65*9+64*10+63*5+62*7+61*2+60*4+59*3+58+57*2+56*3+55*11+54+52*7+51*5+50*5+49*4+48*2+47*5+46*2+45*2+44*5+43+42+41*6+40*2+39*5+38*4+37*3+36*3+35*7+34+33*8+32*3+31*4+30*8+29*3+28*2+27*5+26*4+24*3+23*7+22*4+21*8+20*5+19*3+18+17*6+16*7+15*2+14*3+13+12*5+11*3+9+8*4+7*4+6*8+5+4*6+3*6+2*10 (Torbjörn Alm, 01/26/2001)
(31,2,319) 87+83=84+82+80+79*3+78+77*8+76*5+75*5+74*15+73+72*10+71*8+70*12+69*3+68*7+67+66*3+65*2+64*14+63*3+62*15+61*5+60*2+59*2+58*2+56*2+55*8+54*4+53*6+52*4+51+50*5+49*10+47*2+46+45*4+44*7+43*2+42*2+41*2+40+39*3+38*9+37*2+36*3+34*2+33*4+32*3+31*3+30*5+29+28*4+27*2+26*6+25*2+24*3+22+21*5+20*3+19*3+18*7+17*4+16*2+15*2+14*3+13*3+12*2+10*8+9*5+8*4+7+5*7+4*4+3*3+2+1*8 (Torbjörn Alm, 01/26/2001)
(31,4,299) 87*3+11=85+84*2+83*3+80*5+79*3+78*9+77+76*3+75*11+74*10+73*3+72*8+71*6+70*8+69*8+68*10+67*5+66*4+65*3+64*7+63*5+62*5+61*5+60*3+59*6+58*4+57*6+56*5+55+54*4+53*4+52*3+51*4+50+49+48*3+47*4+46*5+45+44*2+43*4+42*6+41*6+38*4+37*2+36*6+35+34+33*6+32*7+31*3+29*5+26*3+24*2+22*3+21*2+20*5+19*6+18*3+17*2+16+15*4+14+13*2+12*2+10+9*5+8*2+7*7+6*2+3*3+2*5+1*5 (Greg Childers, 12/31/2000)
(31,5,287) 85*2+84+12+8=81*2+80*5+79*3+78*8+77*3+76*5+75*3+74*6+73*5+72*8+71*9+70*9+69*7+68*8+67+66*8+65*8+64*5+63*6+62*9+61*2+60*6+59*5+58*5+57*3+56*6+55*7+54+53*3+52*3+51*5+50*5+49*3+48*5+47*2+46*4+45*4+44+43*3+42*7+41*5+40+39*6+38*2+37*3+36*6+35*3+34+33*2+32*3+31*3+30+29+27*6+25*2+24*2+23+20*9+19*3+18+17*5+15*4+14*3+13+9+7*2+5*5+4*3+2*3+1 (Greg Childers, 10/21/2000)
(31,6,278) 88*3+87+24+9=85*2+84*5+83*2+82*3+81*5+80*5+79*5+78+77*7+76*5+75*10+74*9+73*9+72*6+71*2+70*5+69*6+68*9+67*2+66*7+65*4+64*2+63*5+62*4+61+60*5+59*6+58*6+57*5+56*4+55*5+54*8+53*5+52*4+51+50*3+49+48*4+47*4+46*3+44+43+42+40*6+39+38*5+37*5+36*4+35*7+34*3+33+32*4+31*3+30*4+27*5+26*2+25*4+23*3+22*3+19+18+17*2+16*3+15*4+14+13*3+11*3+10+8*6+7+5*3+2 (Greg Childers, 12/31/2000)
(31,7,249) 100*4+22+14+11=97*3+96+95*3+94*2+93*5+92*5+91*4+90*3+89*4+88*7+87*4+86*2+85*5+84*4+83*7+82*3+81*5+80*5+79*4+78*3+77*7+76*5+75*2+74*2+73*2+72*6+71*3+70*2+69*3+68*5+67*4+66*4+65+64+63+62*5+61+60+59*5+58*4+57*2+56*3+55*4+54*4+53*4+52+51*2+50*2+48*3+47*3+45+44*2+43*3+42*2+41*2+40*2+39*2+38*3+37*4+36*2+34*2+33*2+32+31*3+30*4+29*4+28*3+27*3+26*2+25+24+23*2+21*2+19*3+18*3+17*2+16*2+12*2+10*3+9*4+8*2+6+5+4+2 (Greg Childers, 10/18/2000)
(31,9,246) 100*3+55+36+21+20+1*2=97+96*2+95*2+94*3+93*4+92*3+91+90*2+89*5+88*6+87*3+86*5+85*4+84*2+83*8+82*4+81+80*6+79*3+78*7+77*5+76*3+75*5+74*7+73*4+72*4+71*2+70*2+68*6+67*4+66*4+65*5+64*3+63*2+62*6+61*3+60*3+59*2+58*2+57*3+56+53*6+52*4+51*5+50*5+49*2+48*7+47*5+45*6+44+43+42+41*3+39*3+38*4+37*2+35*2+34*2+33*2+32*4+31*3+30*2+28*2+25*2+22*4+19+17+15*2+13*3+11+8+7*2+6*3+5+4*3+2*2 (Greg Childers, 10/09/2000)
(31,10,242) 100*4+56+35+21*2+14+3=99+98+97+96*2+95*4+94+93*2+91*3+90+89*3+88*5+87*5+86*6+85*9+84*2+83*5+82*2+81*5+80*4+79*7+78*3+77*5+76*2+75*7+74*5+73*7+72*5+71*5+70*3+69*4+68*3+67*9+66*2+65*4+64*3+63*5+62*4+60*2+59*3+57*2+55*3+54+53*2+52*3+51*7+50*2+49*2+48*3+47*5+46*3+45+44*6+41*2+40+38*2+37*2+36*4+34*3+33*4+31+30*5+29+28+27+26+24*2+22*5+20+19+18*3+16*3+13+12+9*2+7*3+4+2 (Douglas McNeil, 11/22/2000)
(31,11,242) 100*3+99+66+39+28+7+5*2+3=98+97*2+96+95*2+94*3+93*5+92+91*3+90*3+89*5+88*6+87*4+86+85*4+84*6+83*5+82*6+81*2+80*6+79*6+78*3+77*4+76*5+75*6+74*2+73*3+72*5+71*8+70*4+69*6+68*2+67*3+65*2+64+63*2+62*7+61*2+60*3+59*2+58*3+57*5+56*2+55*5+54*6+53*7+52+51*3+50+49*2+48+47*3+46*3+45*2+44+43*3+42*3+41*2+40*2+38+37*3+36+33+32*3+31*3+27*6+26+25+24*3+23+21+20*4+19*2+18*2+14+13*4+12+11+10+4+1*3 (Greg Childers, 10/13/2000)
(31,12,235) 104*3+99+30+20+15+13+8*2+4+2=103+101+98*3+97*3+96*5+95*5+93*6+92*5+91*3+90*3+89*6+88*7+87*6+86*5+85*3+84*6+83*6+82*3+81+80*4+79*3+78*4+77*3+76*2+74*3+73*4+72*2+70*3+69*4+68*5+67*3+66*5+65*2+64*2+63*3+62*4+61*4+60*3+59*2+58*2+56*3+55*6+54*2+53*2+52*3+51+50*3+49*5+48*2+47*4+46+45*5+44+43*3+42+41+40*2+39+38*2+37*2+36+35+34*3+33*2+32*4+28*3+23*3+22+19*3+18+17*5+16*2+14*2+12+11+10+9+6*3+5+1 (Douglas McNeil, 11/22/2000)
(31,12,235) 111*2+110+31+26+18+16*2+15+5+3*2=107*2+105*3+104+103*6+102*3+101*3+100*4+99*4+98*4+97+96*3+95*3+94*2+93*2+92*4+91*2+90*2+89+88*2+87*4+86+85*6+84*2+83*3+82*3+81*3+80*3+79*4+78*4+77*3+76*4+75*3+74*2+73*5+72*2+71*4+70+69*4+68*5+67*3+66*2+65*3+64*3+63*4+62*3+61*6+59+58*4+57+56*2+55*2+54+53+52*3+50+49*3+48*2+47*3+46*2+45*3+44*2+43*2+41*3+40+39+36*5+35*3+34*2+33+32*3+30*3+29*2+28*2+27*5+25*3+24*2+22+21+20+14*2+13*3+12*2+11+10*3+9*2+8*4+7+2*2+1 (Douglas McNeil, 11/22/2000)
(31,14,223) 111*3+110+81+80+31+26+22*2+14+12*2+6=108+107*2+106+105*2+104*6+103*2+102*3+101*3+100*6+99*5+98*4+97*7+96*3+95*4+94*6+93*3+92*2+91*7+90+89*4+88*2+87*5+86*4+85*3+84*2+83*4+79+77*2+76+74*4+73*3+72*3+71*2+70*2+69*4+67*4+66*2+65*4+64*2+63*3+62*3+61+60*2+59*6+58*3+57+56*5+55*4+54*5+53*4+52*3+51+49*2+48*2+47+46+45+44*2+42+41*6+40*2+39*2+38*4+36*3+35*3+34+32*2+27+24+23+21+19+18+17*4+16+15+13+10+9+7*2+5+3*3+2*2 (Douglas McNeil, 11/22/2000)
(31,15,218) 149*2+128*3+63+38+24+18*2+14+8*3+5=144*5+137*2+133*2+127*10+120*5+118*5+117+116*3+114*7+106*8+102*6+101*9+100*3+99*4+93*3+88*7+85*5+84+82*2+79*9+74*3+73*7+72*9+71*3+69+66*6+60+56*3+54*6+53*2+52*3+50*7+49*4+46*7+40*5+29+26*5+25*3+22*4+21*4+20*7+19*2+17*4+16*9+15*3+12*3+9*2+7*5+6+4 (Greg Childers, 11/27/2000)
(31,16,184) 147+130*3+119+110+95+49+47*3+21+4*4=139*4+136*2+126*6+125*7+124*3+123*4+122*3+121*10+120*5+118*2+117*3+116*3+114*8+113+112*7+108*9+106*8+102+101*7+100*3+97+96*3+94*3+84*3+83*5+72+71*3+70*2+68*3+67*2+63+60+58*8+57*2+54*5+51*3+50*4+48*3+45*5+38+36*3+29+28*4+23+22+10*7+6*6+3*2+1*4 (Greg Childers, 11/27/2000)
(31,36,56) 66*6+62+60*2+59*5+58+54+52*4+48*2+43+39+37*3+36*2+35+34+29*2+15*2+8=67*3+65*2+64+56*2+50*2+49*2+46*2+45*2+38*3+33*2+32*3+30*2+26*3+24*2+23+22*2+21+20*3+18*4+16*2+13+12*4+10+9*3+7*2+6 (Joe Crump, 10/07/2000)
(31,37,40) 77*3+73+70*2+67*2+63*2+61+60*2+56*2+52*2+51*2+50+49+47+38+32*2+31+28+23+10+8*2+7+4+2*4=76*2+75*3+74+72*3+62+59+57+53+44+43+41+40+37*4+35*2+34+30+29*2+24+20+19+18+17+16+15+12+9*2+5*2+3 (Greg Childers, 10/11/2000)
(32,1,342) 40=39+36*12+35*2+34*16+33*7+32*10+31*9+30*12+28*43+27*11+26*10+25*11+24*13+23*15+22*5+21*17+20*2+19*5+17*2+16*20+15*2+14*7+13*7+12*11+11*9+10*17+9*5+8*2+7*7+6*15+5+4*17+3+2*2+1*16 (Fumitaka Yura, 12/26/2000)
(32,2,315) 40+29=39+38+36*3+35*15+34*6+33*4+31*22+30*13+28*16+27*13+26*27+25*5+24*11+23*21+22*13+21*16+20*21+19*2+18*37+17+16*10+15*10+14+13*6+12*12+11*4+10*4+9+8*4+7*2+6*3+5*6+4+2*3 (Fumitaka Yura, 12/26/2000)
(32,3,303) 46*2+35=44*2+43*7+42*9+41*6+40*3+38*13+37*2+36*4+34*29+32*7+30*12+29+28*4+27*13+26*6+25*2+24*5+23+22*5+21*5+20*4+18*18+17*16+16*2+15*12+14*17+13*10+11*11+10*10+9*10+8*4+7*9+6*2+5*8+4*13+3*15+2*5+1 (Torbjörn Alm, 11/29/2000)
(32,4,270) 42+40+37+19=41*2+39*3+35*6+34*3+32*5+30*9+29*13+28*9+27*2+26+25*8+24*3+23+22*21+21+20*5+18*9+17*8+16*3+15*7+14*13+13*3+12+11*20+10*2+9*31+8*28+7*3+6*24+5*10+4*4+3*6+1*6 (Fumitaka Yura, 12/26/2000)
(32,5,262) 49+35*2+29*2=47+45*7+44*5+42*5+41*16+40*12+39*14+38*3+36*4+33*8+32*6+31*2+28*5+27*8+26*8+25*5+24*4+22*11+21*13+19*16+18*5+17*2+16*6+15*8+14*5+12*8+11*9+10*18+9*2+8*12+7*13+6+5*4+4*7+3*2+2*4+1*3 (Greg Childers, 12/13/2000)
(32,6,247) 56*2+52+47+30+4=55+54+53*6+51*2+50*2+49+48*2+46*3+45*3+44+43*6+42*2+41*9+40*5+38+37*4+36*2+35*8+34*10+33+32*6+31*5+29*5+28*11+27*8+25*5+24*10+23*2+22*5+21*2+19*4+18*11+17*8+16*7+14*6+13*9+12*11+11*5+10*2+9*19+8*10+7*3+6*9+5*6+3*3+2+1*4 (Greg Childers, 11/30/2000)
(32,7,221) 54*4+34*2+29=53*2+52*7+51+50*7+47+45*11+44*2+43*2+42*6+41*5+40*3+39+38*3+37*9+36*3+35*9+33*7+32*4+31*2+30*2+28*6+27*2+26*11+25*3+24*4+23*4+22*5+21*7+20*3+19*7+18+17*11+15*2+14*5+12*2+11*5+10*4+9*15+8*4+7*6+6*2+5*15+4*4+3*2+2*4 (Greg Childers, 12/10/2000)
(32,8,199) 50*2+36*3+26+24+22=49+48+47*4+46*5+45*2+44*4+43*16+42*5+41*10+40*2+39*9+38*4+37*10+35+34*3+32*7+30*5+29*5+28*4+27*7+25*13+23*5+21*11+20*2+19*7+18*8+17+16*6+14+13+12*2+11*7+10+9*6+8*3+7*5+6*7+5*2+2+1*5 (Greg Childers, 11/25/2000)
(32,10,189) 60*4+52+49*2+46*2+42=59*2+58*4+57*5+56+55*4+54*3+53*3+50+48*2+47*8+45*7+44+43*7+41+40*3+39*7+38*2+37*3+36*4+35+34*5+33*2+32+31*10+30+29*4+28*4+27*4+25*7+24+23*3+22+21*3+19*6+17*4+16*4+15*8+14*4+13*3+11*2+10*3+9*5+7*5+6+5*8+4*7+3*8+2*6 (Fumitaka Yura, 11/19/2000)
(32,11,179) 60+58+47+42+26*2+24*2+10*3=57*5+55*5+53*2+51*2+49*6+48*3+45*3+44*2+43*8+41*2+39*10+38*4+37*4+36*2+35*12+34*6+33+32*4+31*3+30*8+29*4+27*9+25*4+23*8+22*4+20+19*8+18+17*7+15*4+14*2+13*4+12*5+11+9*6+8+7*2+6*5+5*5+4+3*3+2+1 (Torbjörn Alm, 01/03/2001)
(32,12,178) 60*3+54*4+30+25*3+14=59*3+58*2+57+56*3+53*7+52*3+51*2+49*5+48+47*6+45*9+43*2+41*7+40*2+39*5+38*4+36*2+35*4+34*5+33*5+32*6+31*3+29*9+27*6+26*5+23*7+21*4+20+19*5+18*3+17*6+16*2+15*2+13*3+11*3+10+9*10+8+7*5+5*4+3*4+2*6+1*4 (Torbjörn Alm, 12/04/2000)
(32,13,168) 64*2+62+59*3+58+40*2+38*3+24=63*3+61+60*3+57*5+56*3+55*5+54+53*4+49*4+48*2+47*6+45*3+44+43*12+41*6+39*5+37+35*3+34*2+33*5+32*3+31*6+30*3+29*7+28+27*6+25*2+23*5+22+21*5+20+19*5+18*2+16+15*6+13*4+12*4+11*3+10*2+9*5+8+7*4+5*4+4*4+3*2+2*2+1*4 (Greg Childers, 11/29/2000)
(32,15,157) 63+62*3+60*3+56*2+54*2+52*2+50+22=61*8+59+57*8+55*12+53*9+51*3+49*2+47*3+46*3+45*2+44+43*5+42*2+40+39*2+38*4+37*5+35*2+34+33*3+32+30*2+29*7+28+27*8+25*2+24*3+23*5+21*3+19*6+18*3+17*2+16+15*2+13*9+11*2+9*4+8*2+7*4+5*8+4*3+3+1 (Greg Childers, 12/03/2000)
(32,24,166) 64*2+62+59+58*2+44*2+42+38*2+35+30+26+8*6+4*3+2=63*3+61+60*3+57*3+55+54+53*8+52*4+51*3+50+49*4+48*2+47+46*3+45+43*11+41*6+40*2+39*7+37*8+33*5+32*5+31*4+29*9+27*5+24*2+23*2+21*4+20+19*10+18*2+17*3+16*2+15*10+13*3+12*2+10*3+9*11+7*2+6*3+5*2+3*2+1 (Torbjörn Alm, 01/26/2001)
(32,25,166) 60+58+52*3+46*3+38+34+23+22*2+20+17+12+10+5*5+4*2+2=57*3+56*2+55*6+54+53*6+51*7+49*5+48*3+47*2+45*3+43*15+40+39*5+37*3+36+35*12+33+32+31+30*10+29*3+28*2+27*14+26+25*5+24+21*8+19*7+15*2+14+13*3+11*6+9*3+8*6+7*10+6+3*5 (Torbjörn Alm, 01/26/2001)
(32,26,166) 64*2+62+56+51+42+40*2+38*4+37*2+28*3+24*2+14*3+8+6+2*2=63*3+61+58+57*9+55*9+53*5+52+50*2+49+47*6+46*5+45*3+43*12+41*6+39+35*2+34*4+33*5+32*2+31*8+30+29*6+27*2+26+25*5+23+22+21*3+19*2+18+17+16*5+15*13+13*3+12*5+11*4+9*6+7*4+5*7+4*6+1*3 (Torbjörn Alm, 01/26/2001)
(32,27,155) 64+62+60+46+42+40*2+38+36*4+32*2+28+20*6+16*2+13+4*3=63+61*3+58+57*5+56*3+55+53*7+51*6+50*6+49*2+47*4+45*8+43*9+39*5+37+35*7+34+33*9+31*6+29*7+27*10+26+25*3+24*3+22*2+21*7+19*2+18*2+17*2+12*2+11*4+10*2+9+8*2+6+5*5+3*8+1*6 (Torbjörn Alm, 01/26/2001)
(32,33,51) 77*3+75+73+72+71*2+59*2+56+55+52*2+51+49+47*2+45+41+40*3+38+35*2+32+31+27+24+23+18+12=79+78+70+69+67+65+63+58*2+57*4+54*2+48*2+46+43+42*2+39+37+36*2+34*2+29+28*5+26+25+22+21+20*2+16+14+9+7+6*3+5+3*2+2+1 (Greg Childers, 10/15/2000)
(32,39,54) 69*2+68+67+66+65+61+60+58+54+53*4+52*2+51*2+49+48+47+40*2+39*2+36+30*2+24+21+20+9*6+7+3=70*2+64+63*2+62*2+57*3+56+55+46*5+45+44*3+43+42+37*2+34+33*2+29*3+28+25*3+19*4+13+12+8*4+6*3+4*2+2*3+1 (Greg Childers, 10/08/2000)
(32,41,43) 87*2+84*2+82*2+79+78+73+69*2+62*2+54+53*2+50*3+49+47*2+42*2+33+32*2+29*2+28+23+19*2+16*3+14+13+2+1*2=88+86*2+81+80+77+75*2+70+68+67*2+66+64+63*3+61+57+46+41+40+34+30*2+27+22*3+20*3+18*2+15*3+11*2+8+5*2+4 (Greg Childers, 10/16/2000)
(32,43,44) 77*3+76*2+74*2+73*2+66+63+62+61*2+53+51+49*3+39+36+34+32*2+28*3+26+24*2+23*3+22+19+16+10+7*2+4*3+1=78*3+75+72+71+69+68*2+67*2+65+56+55+54+52+50+46+45+41+40*3+37*3+33+31+30+25*3+17+13+12*3+9+6*5+3 (Greg Childers, 10/10/2000)

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