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 A299828 Coefficients in expansion of (q*j(q))^(-1/6) where j(q) is the elliptic modular invariant (A000521). 2
 1, -124, 21002, -4016872, 809288755, -167876361244, 35484423032510, -7599636959859112, 1643483711343623769, -358082233874320665600, 78482787856608918842534, -17284562763499415545585456, 3821876235203430873578026310 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS FORMULA Convolution inverse of A289299. a(n) ~ (-1)^n * c * exp(Pi*sqrt(3)*n) / sqrt(n), where c = 0.585669299547026632252908661746743778408088234535945502931... = sqrt(2) * exp(Pi/(2 * sqrt(3))) * Pi^(3/2) / (sqrt(3) * Gamma(1/3)^3). - Vaclav Kotesovec, Feb 20 2018, updated Mar 06 2018 a(n) * A289299(n) ~ -exp(2*sqrt(3)*Pi*n) / (2*Pi*n^2). - Vaclav Kotesovec, Feb 20 2018 MATHEMATICA CoefficientList[Series[(2 * QPochhammer[-1, x])^4 / (65536 + x*QPochhammer[-1, x]^24)^(1/2), {x, 0, 20}], x] (* Vaclav Kotesovec, Feb 20 2018 *) CROSSREFS Cf. A000521, A289299. Sequence in context: A206077 A097842 A206189 * A280905 A146516 A146546 Adjacent sequences: A299825 A299826 A299827 * A299829 A299830 A299831 KEYWORD sign AUTHOR Seiichi Manyama, Feb 20 2018 STATUS approved

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Last modified January 29 10:55 EST 2023. Contains 359922 sequences. (Running on oeis4.)