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A022613
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Expansion of Product_{m>=1} (1+q^m)^(-18).
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2
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1, -18, 153, -834, 3384, -11340, 33729, -92430, 236727, -572120, 1318743, -2922948, 6259641, -13000770, 26283159, -51879720, 100210041, -189775800, 352975681, -645780060, 1163610432, -2067225594, 3624593265, -6277838652
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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 * 3^(1/4) * exp(Pi*sqrt(3*n)) / (2^(3/2) * 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)^18, {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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