A058713 McKay-Thompson series of class 55A for the Monster group.

1, 0, 2, 1, 1, 2, 3, 4, 6, 5, 8, 9, 12, 14, 15, 18, 23, 28, 32, 35, 45, 50, 61, 69, 79, 90, 106, 122, 142, 156, 184, 206, 242, 269, 304, 346, 391, 442, 502, 556, 634, 707, 801, 892, 999, 1114, 1249, 1392, 1555, 1718, 1927, 2129, 2380, 2630, 2914, 3226, 3577

Offset

-1,3

Links

Vaclav Kotesovec, Table of n, a(n) for n = -1..3200 (computed by David A. Madore)

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

David A. Madore, Coefficients of Moonshine (McKay-Thompson) series, The Math Forum

Index entries for McKay-Thompson series for Monster simple group

Formula

a(n) ~ exp(4*Pi*sqrt(n/55)) / (sqrt(2) * 55^(1/4) * n^(3/4)). - Vaclav Kotesovec, Jul 10 2018

Example

T55A = 1/q + 2*q + q^2 + q^3 + 2*q^4 + 3*q^5 + 4*q^6 + 6*q^7 + 5*q^8 + 8*q^9 + ...

Crossrefs

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

Sequence in context: A030737 A238587 A320767 * A331564 A288250 A169786

Adjacent sequences: A058710 A058711 A058712 * A058714 A058715 A058716

Keyword

nonn

Author

N. J. A. Sloane, Nov 27 2000

Extensions

More terms from Michel Marcus, Feb 24 2014

Status

approved