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A294974
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Coefficients in expansion of (E_2^4/E_4)^(1/8).
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5
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1, -42, 4032, -659904, 118064226, -22406634432, 4407587356032, -888750999070464, 182478248639753472, -37986867560948245674, 7994272624037726124672, -1697243410477799687716416, 362963150140702802158191360, -78095916585903527021840348352
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OFFSET
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0,2
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COMMENTS
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Also coefficients in expansion of (E_2^8/E_8)^(1/16).
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LINKS
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FORMULA
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G.f.: Product_{n>=1} (1-q^n)^A294626(n).
a(n) ~ (-1)^n * 2^(13/8) * Pi * exp(Pi*sqrt(3)*n) / (Gamma(1/8) * Gamma(1/3)^(9/4) * n^(7/8)). - Vaclav Kotesovec, Jun 03 2018
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MATHEMATICA
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terms = 14;
E2[x_] = 1 - 24*Sum[k*x^k/(1 - x^k), {k, 1, terms}];
E4[x_] = 1 + 240*Sum[k^3*x^k/(1 - x^k), {k, 1, terms}];
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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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