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A289328
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Coefficients in expansion of E_6^(5/12).
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12
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1, -210, -37800, -10300080, -3534651750, -1351633962672, -551776752641520, -235367241169341120, -103623939263346377400, -46723958347194591810690, -21464711387762586693907248, -10009787904868201520473221840
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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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G.f.: Product_{n>=1} (1-q^n)^(5*A288851(n)/12).
a(n) ~ c * exp(2*Pi*n) / n^(17/12), where c = -5 * Gamma(1/12) * Gamma(1/4)^(20/3) / (128 * 2^(11/12) * 3^(2/3) * Pi^5 * Gamma(1/3)^2) = -0.2792181117471536554156263079143941137076647484619917046386429000631... - Vaclav Kotesovec, Jul 08 2017, updated Mar 05 2018
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MATHEMATICA
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nmax = 20; CoefficientList[Series[(1 - 504*Sum[DivisorSigma[5, k]*x^k, {k, 1, nmax}])^(5/12), {x, 0, nmax}], x] (* Vaclav Kotesovec, Jul 08 2017 *)
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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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