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A294979
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Coefficients in expansion of (E_2^6/E_6)^(1/12).
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2
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1, 30, 12240, 4620000, 1915684770, 839549366208, 381374756189280, 177631327935911040, 84272487587664762240, 40549569894460426101150, 19730577674798681251391712, 9687875889040210133058857760, 4792614349874614536514510456320
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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)^(-A294975(n)).
a(n) ~ 2^(13/12) * 3^(1/3) * sqrt(Pi) * exp(2*Pi*n) / (Gamma(1/12) * Gamma(1/4)^(4/3) * n^(11/12)). - Vaclav Kotesovec, Jun 03 2018
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MATHEMATICA
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terms = 13;
E2[x_] = 1 - 24*Sum[k*x^k/(1 - x^k), {k, 1, terms}];
E6[x_] = 1 - 504*Sum[k^5*x^k/(1 - x^k), {k, 1, terms}];
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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