A381012 a(n) = [(x*y)^n] Product_{k>=1} (1 - x^k - y^k)^n.

1, 0, -2, -6, -82, 530, -2420, 11718, -77458, 492834, -1022532, 3574714, -39670180, -172880396, 3186538080, -18558899356, 150869023214, -1286538054802, 6854805868780, -29675795883872, 168219184363308, -618102310289316, -1450440026397056, 26462673455854066

Offset: 0

Author

Ilya Gutkovskiy, Apr 10 2025

Keywords

• sign

Crossrefs

Cf. A008705, A322213, A322214.

Programs

Mathematica

Table[SeriesCoefficient[Product[(1 - x^k - y^k)^n, {k, 1, n}], {x, 0, n}, {y, 0, n}], {n, 0, 23}]