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A022614
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Expansion of Product_{m>=1} (1+q^m)^(-19).
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2
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1, -19, 171, -988, 4237, -14896, 46075, -130549, 344888, -858325, 2032924, -4621313, 10137716, -21545639, 44525987, -89757843, 176925625, -341688495, 647687314, -1206921212, 2213842874, -4001882220, 7136374179
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) ~ (-1)^n * 19^(1/4) * exp(Pi*sqrt(19*n/6)) / (2^(7/4) * 3^(1/4) * n^(3/4)). - Vaclav Kotesovec, Aug 27 2015
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MATHEMATICA
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nmax = 50; CoefficientList[Series[Product[1/(1 + x^k)^19, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Aug 27 2015 *)
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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