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

0,2

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.

Formula

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, 1+q^k)); Vec(gf) \\ Joerg Arndt, Jul 01 2011

Crossrefs

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

Sequence in context: A050046 A052337 A308858 * A121081 A330952 A118399

Adjacent sequences: A192429 A192430 A192431 * A192433 A192434 A192435

Keyword

nonn

Author

Jeremy Lovejoy, Jun 30 2011

Status

approved