OFFSET
0,2
COMMENTS
Partial sums of A000700.
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..2000
Eric Weisstein's World of Mathematics, Self-Conjugate Partition
FORMULA
G.f.: (1/(1 - x))*Product_{k>=1} 1/(1 + (-x)^k).
a(n) ~ exp(Pi*sqrt(n/6)) * 3^(1/4) / (Pi * 2^(1/4) * n^(1/4)). - Vaclav Kotesovec, May 19 2018
MATHEMATICA
nmax = 59; CoefficientList[Series[1/(1 - x) Product[(1 + x^(2 k - 1)), {k, 1, nmax}], {x, 0, nmax}], x]
nmax = 59; CoefficientList[Series[1/(1 - x) Product[1/(1 + (-x)^k), {k, 1, nmax}], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, May 15 2018
STATUS
approved