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A299831 Coefficients in expansion of (q*j(q))^(-1/3) where j(q) is the elliptic modular invariant (A000521). 3

%I

%S 1,-248,57380,-13242240,3055845770,-705181025216,162730809182936,

%T -37552508189222400,8665789092645124915,-1999757252424845206240,

%U 461473159094045987499908,-106491663578673234478298880,24574504905153510156698896190

%N Coefficients in expansion of (q*j(q))^(-1/3) where j(q) is the elliptic modular invariant (A000521).

%H Seiichi Manyama, <a href="/A299831/b299831.txt">Table of n, a(n) for n = 0..422</a>

%F Convolution inverse of A007245.

%F 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

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

%Y Cf. A000521, A007245.

%K sign

%O 0,2

%A _Seiichi Manyama_, Feb 20 2018

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Last modified February 7 02:40 EST 2023. Contains 360111 sequences. (Running on oeis4.)