OFFSET
0,2
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..5000 (terms 0..1000 from Seiichi Manyama)
FORMULA
G.f.: Product_{k>=1} (1-q^k)^A288995(k).
a(n) ~ exp(4*Pi*sqrt(n)) * n^(21/4) / sqrt(2). - Vaclav Kotesovec, Jul 09 2017
EXAMPLE
G.f.: (1-q)^264 * (1-q^2)^4152 * (1-q^3)^77064 * ... = 1 - 264*q + 30564*q^2 - 2012800*q^3 + 81099090*q^4 - 1952940672*q^5 + ... .
MATHEMATICA
nmax = 20; CoefficientList[Series[(1 - 24*Sum[DivisorSigma[1, k]*x^k, {k, 1, nmax}])^12 / Product[(1 - x^k)^24, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Jul 09 2017 *)
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Jun 23 2017
STATUS
approved