## Integer Solutions
of

*a*_{1}^{h}
+ a_{2}^{h} + a_{3}^{h}
+ a_{4}^{h} = b_{1}^{h}
+ b_{2}^{h} + b_{3}^{h}
+ b_{4}^{h}
( h = 1, 2, 3, 5 )
- A.Golden
`[5]`
gave solutions of this type by starting with the non-symmetric
solutions of the system ( k = 1, 2, 3 ) .
- [ -38, -13, 0, 51 ] = [ -33, -24, 7, 50 ]

- The following solutions are obtained by using
Golden's method.
- [ -33, -7, 1, 39 ] = [ -27, -21, 11, 37 ]
- [ -21, -3, 1, 23 ] = [ -17, -13, 9, 21 ]
- [ -29, -11, 7, 33 ] = [ -23, -21, 13, 31 ]
- [ -63, -35, 29, 69 ] = [ -51, -51, 37, 65 ]

- G.Xeroudakes and A.Moessner gave a parameter
solution of this type in 1958.
`[17]`
- The following solution chain is obtained by Chen Shuwen.
- [ -197, -23, -11, 231 ] = [ -179, -93, 49, 223 ] = [ -149, -137, 69,
217 ]

*Last revised March,31, 2001.*

Copyright 1997-2001, Chen Shuwen