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A289346
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Coefficients in expansion of E_6^(2/3).
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11
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1, -336, -39312, -8266944, -2529479568, -895678457184, -344891780549568, -140330667583849344, -59379605532142099344, -25873741825665005773200, -11534062764689844375098592, -5236325710480558290644292672
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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)^(2*A288851(n)/3).
a(n) ~ c * exp(2*Pi*n) / n^(5/3), where c = -3^(1/3) * Gamma(1/4)^(32/3) / (128 * 2^(2/3) * Pi^8 * Gamma(1/3)) = -0.258650618394676269905172499217587002338... - 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}])^(2/3), {x, 0, nmax}], x] (* Vaclav Kotesovec, Jul 08 2017 *)
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CROSSREFS
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E_6^(k/12): A109817 (k=1), A289325 (k=2), A289326 (k=3), A289327 (k=4), A289328 (k=5), A289293 (k=6), A289345 (k=7), this sequence (k=8), A289347 (k=9), A289348 (k=10), A289349 (k=11).
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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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