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A004406
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Expansion of 1 / (Sum_{n=-oo..oo} x^(n^2))^5.
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3
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1, -10, 60, -280, 1110, -3912, 12600, -37760, 106620, -286290, 736184, -1822920, 4365800, -10149320, 22971120, -50744448, 109643350, -232145040, 482403060, -985229640, 1980034104, -3920000400, 7652388280, -14742829440
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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 * 5^(3/2)*exp(Pi*sqrt(5*n)) / (512*n^2). - Vaclav Kotesovec, Aug 18 2015
G.f.: 1/theta_3(x)^5, where theta_3() is the Jacobi theta function.
G.f.: Product_{k>=1} 1/((1 - x^(2*k))*(1 + x^(2*k-1))^2)^5. (End)
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MATHEMATICA
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nmax = 30; CoefficientList[Series[Product[((1 + (-x)^k)/(1 - (-x)^k))^5, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Aug 18 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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