OFFSET
0,2
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..367
FORMULA
G.f.: Product_{k>=1} (1-q^k)^(A289061(k)/24). - Seiichi Manyama, Jul 02 2017
a(n) ~ c * exp(2*Pi*n) / n^(13/12), where c = -2^(1/12) * Pi^(25/12) * exp(-Pi/12) / (3^(13/12) * Gamma(2/3)^2 * Gamma(3/4)^(7/3) * Gamma(1/12)) = -0.0794786705643291777786030631826408355507134016936764993676699378963... - Vaclav Kotesovec, Mar 07 2018
MATHEMATICA
CoefficientList[Series[((256/QPochhammer[-1, x]^8 + x*QPochhammer[-1, x]^16/256)^3 - 1728*x)^(1/24), {x, 0, 20}], x] (* Vaclav Kotesovec, Mar 07 2018 *)
PROG
(PARI) {a(n)=if(n<0, 0, polcoeff( ((ellj(x+x^2*O(x^n))-1728)*x)^(1/24), n))}
CROSSREFS
KEYWORD
sign
AUTHOR
Michael Somos, Apr 25 2005
STATUS
approved