A192432 Coefficients of a mock theta function.

1, 2, 2, 3, 5, 6, 8, 11, 13, 17, 22, 27, 34, 42, 51, 62, 76, 91, 109, 132, 156, 186, 221, 259, 306, 360, 420, 490, 572, 663, 769, 892, 1027, 1184, 1364, 1564, 1793, 2053, 2343, 2674, 3048, 3464, 3935, 4465, 5056, 5721, 6468, 7297, 8227, 9269, 10423

Offset: 0

Author

Jeremy Lovejoy, Jun 30 2011

Keywords

• nonn

Comments

Essentially the unified WRT invariant of the Seifert manifold M(2,3,8)

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 0..10000
• K. Bringmann, K. Hikami and J. Lovejoy, On the modularity of the unified WRT invariants of certain Seifert manifolds
• 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.

Crossrefs

a(n) equals A053251(2n+2).

Programs

PARI

N=66; q='q+O('q^N); gf=sum(n=0,N,q^n*prod(k=1,2*n+1,1+q^k)); Vec(gf) \\ Joerg Arndt, Jul 01 2011

Formula

a(n) ~ exp(Pi*sqrt(n/3)) / (4*sqrt(2*n)). - Vaclav Kotesovec, Jun 12 2019