A321432 Expansion of Product_{i>0, j>0, k>0} (1 - x^(i^2 + j^2 + k^2)).

1, 0, 0, -1, 0, 0, -3, 0, 0, 0, 0, -3, 5, 0, -3, 7, 0, 12, -7, -3, 21, -14, 3, -6, 6, 27, -57, 22, 6, -36, 15, -75, 87, -17, -111, 99, -71, 75, -90, -91, 324, -225, 23, 57, -36, 332, -543, 333, 374, -417, 342, -473, 720, 18, -1132, 1227, -330, 202, -414, -846, 2357, -1998

Offset: 0

Author

Seiichi Manyama, Nov 09 2018

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A063691, A321429, A321433.

Formula

G.f.: Product_{k>0} (1 - x^k)^A063691(k).