A065460 Number of inequivalent (ordered) solutions to n^2 = sum of 6 squares of integers >= 0.

1, 1, 2, 3, 3, 5, 9, 9, 9, 18, 23, 24, 29, 37, 53, 62, 59, 77, 116, 106, 130, 156, 199, 192, 221, 257, 342, 336, 384, 402, 577, 501, 599, 639, 835, 774, 910, 912, 1220, 1113, 1378, 1298, 1703, 1530, 1907, 1862, 2398, 2094, 2471, 2393, 3356, 2765, 3543

Offset: 0

Author

Wouter Meeussen, Nov 18 2001

Keywords

• nonn

Examples

			a(5)=5 because 25 produces {0,0,0,0,0,5}, {0,0,0,0,3,4}, {0,0,1,2,2,4}, {0,2,2,2,2,3}, {1,1,1,2,3,3}.
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..600

Crossrefs

Cf. A063014, A016727.

Column k=6 of A255212.

Programs

Mathematica

Length/@Table[SumOfSquaresRepresentations[6, (k)^2], {k, 72}]

Extensions

a(0)=1 prepended by Alois P. Heinz, Feb 17 2015