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

%I #17 Jun 05 2018 03:58:20

%S 1,-60,8460,-1459680,273388620,-53595097560,10818138134880,

%T -2228446076600640,465957083177325900,-98553257565313635420,

%U 21034800052217022675960,-4522762142866403196901920,978397734079422399475947360

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

%H Seiichi Manyama, <a href="/A295815/b295815.txt">Table of n, a(n) for n = 0..424</a>

%F Convolution square of A289247.

%F Convolution inverse of A289307.

%F 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

%Y Cf. A004009 (E_4), A289247, A289307.

%K sign

%O 0,2

%A _Seiichi Manyama_, Feb 13 2018