A058769 McKay-Thompson series of class 95A for Monster.

1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 2, 3, 4, 4, 4, 5, 6, 7, 7, 8, 8, 11, 11, 12, 13, 14, 16, 19, 19, 22, 22, 26, 28, 31, 33, 36, 40, 45, 46, 52, 54, 61, 66, 71, 76, 83, 90, 99, 104, 114, 120, 133, 142, 153, 164, 176, 190, 207, 218, 237, 250, 273, 291, 312

Offset

-1,10

Comments

Also McKay-Thompson series of class 95B for Monster. - Michel Marcus, Feb 24 2014

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/95)) / (sqrt(2) * 95^(1/4) * n^(3/4)). - Vaclav Kotesovec, Jul 10 2018

Example

T95A = 1/q + q + q^3 + q^4 + q^5 + q^6 + q^7 + 2*q^8 + 2*q^9 + 2*q^10 + 3*q^11 + ...

Crossrefs

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

Sequence in context: A194336 A127159 A025128 * A194312 A116997 A050142

Adjacent sequences: A058766 A058767 A058768 * A058770 A058771 A058772

Keyword

nonn

Author

N. J. A. Sloane, Nov 27 2000

Extensions

More terms from Michel Marcus, Feb 24 2014

Status

approved