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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

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.

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

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

Adjacent sequences:  A192430 A192431 A192432 * A192434 A192435 A192436

KEYWORD

nonn

AUTHOR

Jeremy Lovejoy, Jun 30 2011

STATUS

approved

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Last modified October 31 00:25 EDT 2020. Contains 338095 sequences. (Running on oeis4.)