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A299831 Coefficients in expansion of (q*j(q))^(-1/3) where j(q) is the elliptic modular invariant (A000521). 3
1, -248, 57380, -13242240, 3055845770, -705181025216, 162730809182936, -37552508189222400, 8665789092645124915, -1999757252424845206240, 461473159094045987499908, -106491663578673234478298880, 24574504905153510156698896190 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..422

FORMULA

Convolution inverse of A007245.

a(n) ~ (-1)^n * c * exp(Pi*sqrt(3)*n), where c = 1.077593073040317872038995220477192961256589630965039133409... = 2 * exp(Pi/sqrt(3)) * Pi^4 / (3 * Gamma(1/3)^6). - Vaclav Kotesovec, Feb 20 2018, updated Mar 06 2018

MATHEMATICA

CoefficientList[Series[(2 * QPochhammer[-1, x])^8 / (65536 + x*QPochhammer[-1, x]^24), {x, 0, 20}], x] (* Vaclav Kotesovec, Feb 20 2018 *)

CROSSREFS

Cf. A000521, A007245.

Sequence in context: A178967 A030062 A030650 * A045254 A197349 A197400

Adjacent sequences: A299828 A299829 A299830 * A299832 A299833 A299834

KEYWORD

sign

AUTHOR

Seiichi Manyama, Feb 20 2018

STATUS

approved

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Last modified December 5 21:40 EST 2022. Contains 358594 sequences. (Running on oeis4.)