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A289332
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Coefficients of (q*(j(q)-1728))^(1/6) where j(q) is the elliptic modular invariant.
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13
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1, -164, -34426, -9943880, -3522075375, -1378091288700, -572783373894746, -247966590624315128, -110550043138808626860, -50393645499572805001180, -23374903983625804137812564, -10995211137216964385513242408
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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_{k>=1} (1-q^k)^(A289061(k)/6).
a(n) ~ c * exp(2*Pi*n) / n^(4/3), where c = -2^(1/3) * Pi^(1/3) * exp(-Pi/3) / (3^(1/3) * Gamma(2/3) * Gamma(3/4)^(4/3)) = -0.252847812633789641246665071437... - Vaclav Kotesovec, Mar 07 2018
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MATHEMATICA
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CoefficientList[Series[((256/QPochhammer[-1, x]^8 + x*QPochhammer[-1, x]^16/256)^3 - 1728*x)^(1/6), {x, 0, 20}], x] (* Vaclav Kotesovec, Mar 07 2018 *)
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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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