A295815 Coefficients in expansion of E_4^(-1/4).

1, -60, 8460, -1459680, 273388620, -53595097560, 10818138134880, -2228446076600640, 465957083177325900, -98553257565313635420, 21034800052217022675960, -4522762142866403196901920, 978397734079422399475947360

Offset: 0

Author

Seiichi Manyama, Feb 13 2018

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..424

Crossrefs

Cf. A004009 (E_4), A289247, A289307.

Formula

Convolution square of A289247.

Convolution inverse of A289307.

a(n) ~ (-1)^n * 2^(9/4) * Pi^3 * exp(Pi*sqrt(3)*n) / (sqrt(3) * Gamma(1/3)^(9/2) * Gamma(1/4) * n^(3/4)). - Vaclav Kotesovec, Jun 05 2018