OFFSET
0,3
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..1169
FORMULA
a(n) ~ exp(10 * 2^(7/10) * Pi * (Zeta(9)/33)^(1/10) * n^(9/10)/9 + Pi * (11/Zeta(9))^(1/10) * n^(1/10) / (480 * 2^(7/10) * 3^(9/10)) - 315*Zeta(9) / (8*Pi^8)) * (Zeta(9)/33)^(1/20) / (2^(13/20) * sqrt(5) * n^(11/20)).
G.f.: exp(Sum_{k>=1} sigma_9(k)*x^k/(k*(1 - x^k))). - Ilya Gutkovskiy, Oct 26 2018
MATHEMATICA
nmax = 30; CoefficientList[Series[Product[1/(1-x^k)^DivisorSigma[8, k], {k, 1, nmax}], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Mar 23 2018
STATUS
approved