A381011 a(n) = [(x*y)^n] Product_{k>=1} (1 - x^k - y^k)^k.

1, 0, 2, -6, -14, -10, 32, 76, -80, -340, -200, 590, 2302, 1890, -3470, -11468, -16254, 5244, 57406, 109340, 81396, -158664, -550388, -829558, -359856, 1509570, 4333256, 6198660, 2628406, -10133230, -30439512, -46214582, -29696680, 45589368

Offset

0,3

Links

Table of n, a(n) for n=0..33.

Mathematica

Table[SeriesCoefficient[Product[(1 - x^k - y^k)^k, {k, 1, n}], {x, 0, n}, {y, 0, n}], {n, 0, 33}]

Crossrefs

Cf. A073592, A322213, A322214.

Sequence in context: A054588 A084106 A396666 * A295987 A263691 A160657

Adjacent sequences: A381008 A381009 A381010 * A381012 A381013 A381014

Keyword

sign

Author

Ilya Gutkovskiy, Apr 10 2025

Status

approved