OFFSET
0,2
COMMENTS
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..10000
Vaclav Kotesovec, Graph - the asymptotic ratio (100000 terms)
FORMULA
a(n) ~ exp(Pi*sqrt(n/3) + 3^(1/4) * (sqrt(2) - 1) * zeta(3/2) * n^(1/4)/2 - 3*(3 - 2*sqrt(2)) * zeta(3/2)^2/(32*Pi)) / (2^(5/2) * 3^(1/4) * n^(3/4)).
MATHEMATICA
nmax = 100; CoefficientList[Series[Product[(1+x^(k^2))*(1+x^k), {k, 1, nmax}], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Jan 26 2024
STATUS
approved