## Integer Solutions
of

*a*_{1}^{h}
+ a_{2}^{h} + a_{3}^{h}
+ a_{4}^{h}+ a_{5}^{h}
+ a_{6}^{h} = b_{1}^{h}
+ b_{2}^{h} + b_{3}^{h}
+ b_{4}^{h} + b_{5}^{h}
+ b_{6}^{h}
( h = 1, 2, 3, 4,
5, 7 )
- A.Golden
`[5]`
gave a solution method for this type which started
with the non-symmetric solutions
of the system ( k = 1, 2, 3, 4, 5 ) .
- A.Golden gave one solution of this type by using
his method in 1940's.
`[5]` ( Page25
)
- [ -89, -41, -31, 33, 45, 83 ] = [ -87, -55, -1,
3, 61, 79 ]

- Chen Shuwen obtained a parameter solution of
this type. Numerical examples are
- [ -71, -44, -20, 31, 37, 67 ] = [ -68, -53, 1,
4, 55, 61 ]
- [ -271, -169, -121, 101, 155, 305 ] = [ -241,
-235, -55, 41, 191, 299 ]
- [ -311, -149, -107, 73, 199, 295 ] = [ -305,
-191, -17, 1, 229, 283 ]

*Last revised March,31, 2001.*

Copyright 1997-2001, Chen Shuwen