OFFSET
0,3
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..1000
B. C. Berndt and S. H. Chan, Sixth order mock theta functions, Adv. Math. 216 (2007), 771-786.
FORMULA
G.f.: Sum_{n >= 1} q^n(1+q)(1+q^2)...(1+q^(2n-2))/((1-q)(1-q^3)...(1-q^(2n-1))).
a(n) ~ exp(Pi*sqrt(2*n/3)) / (2^(5/2)*sqrt(3*n)). - Vaclav Kotesovec, Jun 13 2019
PROG
(PARI) lista(nn) = q = qq + O(qq^nn); gf = sum(n = 1, nn, q^n * prod(k = 1, 2*n-2, 1 + q^k) / prod(k = 1, n, 1 - q^(2*k-1))); concat(0, Vec(gf)) \\Michel Marcus, Jun 18 2013
CROSSREFS
KEYWORD
nonn
AUTHOR
Jeremy Lovejoy, Dec 21 2008
STATUS
approved