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A022622
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Expansion of Product_{m>=1} (1+q^m)^(-27).
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2
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1, -27, 351, -2952, 18279, -90234, 376065, -1380861, 4603419, -14211732, 41168493, -112989411, 296067411, -745157691, 1809973404, -4259279106, 9741879531, -21715736634, 47285714262, -100777640049, 210581729640, -432065248731, 871606288422, -1730764207107, 3386501241606
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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 * sqrt(3) * exp(3*Pi*sqrt(n/2)) / (2^(7/4) * 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)^27, {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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