A058507 McKay-Thompson series of class 14c for Monster.

1, 5, 13, 37, 71, 142, 250, 457, 750, 1263, 2035, 3229, 4988, 7649, 11488, 17092, 25081, 36531, 52491, 74950, 105860, 148675, 206914, 286401, 393536, 537848, 730398, 987086, 1326645, 1774901, 2363069, 3133327, 4135942, 5438861, 7123396, 9297096, 12089350, 15669436

Offset

-1,2

Links

G. C. Greubel, Table of n, a(n) for n = -1..1000

D. Ford, J. McKay and S. P. Norton, More on replicable functions, Comm. Algebra 22, No. 13, 5175-5193 (1994).

Index entries for McKay-Thompson series for Monster simple group

Formula

Expansion of A +7*q/A, where A = q^(1/2)*(eta(q)/eta(q^7))^2, in powers of q. - G. C. Greubel, Jun 20 2018

a(n) ~ exp(2*Pi*sqrt(2*n/7)) / (2^(3/4) * 7^(1/4) * n^(3/4)). - Vaclav Kotesovec, Jun 28 2018

Example

T14c = 1/q + 5*q + 13*q^3 + 37*q^5 + 71*q^7 + 142*q^9 + 250*q^11 + ...

Mathematica

QP = QPochhammer; A = (QP[q]/QP[q^7])^2 + O[q]^50; CoefficientList[A + 7*q/A, q] (* Georg Fischer, Nov 14 2020 *)

Prog

(PARI) q='q+O('q^50); A= (eta(q)/eta(q^7))^2; Vec(A +7*q/A) \\ G. C. Greubel, Jun 20 2018

Crossrefs

Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc.

Sequence in context: A107144 A137815 A089523 * A111057 A019268 A083413

Adjacent sequences: A058504 A058505 A058506 * A058508 A058509 A058510

Keyword

nonn

Author

N. J. A. Sloane, Nov 27 2000

Extensions

Terms a(12) onward added by G. C. Greubel, Jun 20 2018

Status

approved