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A192433
Coefficients of a mock theta function.
1
1, 1, 2, 3, 4, 5, 7, 9, 12, 16, 19, 24, 31, 37, 46, 57, 68, 83, 101, 120, 143, 171, 202, 239, 283, 331, 388, 455, 529, 616, 716, 827, 957, 1105, 1270, 1460, 1676, 1918, 2193, 2506, 2854, 3248, 3695, 4191, 4752, 5382, 6082, 6870, 7752, 8732, 9829
OFFSET
0,3
LINKS
K. Bringmann, K. Hikami, and J. Lovejoy, On the modularity of the unified WRT invariants of certain Seifert manifolds, Adv. Appl. Math. 46 (2011), 86-93.
FORMULA
a(n) = A053251(2*n+1).
a(n) ~ exp(Pi*sqrt(n/3)) / (4*sqrt(2*n)). - Vaclav Kotesovec, Jun 12 2019
PROG
(PARI) N=66; q='q+O('q^N); gf=sum(n=0, N, q^n*prod(k=1, 2*n, 1+q^k)); Vec(gf) \\ Joerg Arndt, Jul 01 2011
CROSSREFS
Cf. A053251.
Sequence in context: A039877 A291833 A272691 * A189083 A318156 A272948
KEYWORD
nonn
AUTHOR
Jeremy Lovejoy, Jun 30 2011
STATUS
approved