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A301556
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Expansion of Product_{k>=1} ((1 + x^k)/(1 - x^k))^(sigma_2(k)).
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3
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1, 2, 12, 42, 154, 498, 1640, 4990, 15092, 43840, 125220, 348478, 954294, 2561714, 6776404, 17644494, 45338734, 114971434, 288148860, 713968998, 1750662814, 4249685398, 10219662844, 24356466418, 57558783492, 134922807056, 313842321696, 724651728916
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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a(n) ~ exp(2^(5/4) * Pi * Zeta(3)^(1/4) * n^(3/4)/3 - Pi*n^(1/4) / (3 * 2^(13/4) * Zeta(3)^(1/4)) + Zeta(3)/(8*Pi^2)) * Zeta(3)^(1/8) / (2^(15/8) * n^(5/8)).
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MATHEMATICA
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nmax = 40; CoefficientList[Series[Product[((1+x^k)/(1-x^k))^DivisorSigma[2, k], {k, 1, nmax}], {x, 0, nmax}], x]
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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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