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A289334
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Coefficients of (q*(j(q)-1728))^(1/4) where j(q) is the elliptic modular invariant.
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15
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1, -246, -41553, -10405738, -3425019885, -1274958998550, -510099547824244, -214102720094848884, -92997705562440483771, -41448768067643091078680, -18848488732890018582016056, -8710420728901868885695224690
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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)/4).
a(n) ~ c * exp(2*Pi*n) / n^(3/2), where c = -3 * exp(-Pi/2) / (2^(1/2) * Gamma(3/4)^2) = -0.293663850547434552890056440879436571786655817166913678971... - 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)^(1/4), {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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