A058773 McKay-Thompson series of class 105A for Monster.

1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 3, 2, 2, 3, 3, 4, 5, 3, 4, 6, 6, 6, 8, 7, 8, 10, 10, 10, 14, 13, 14, 17, 16, 18, 22, 22, 25, 26, 28, 29, 37, 35, 38, 44, 44, 48, 55, 54, 60, 67, 71, 74, 83, 85, 92, 103, 107, 112, 127, 128, 140, 154, 157, 168, 188, 192, 206

Offset

-1,11

References

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

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/105)) / (sqrt(2) * 105^(1/4) * n^(3/4)). - Vaclav Kotesovec, Jul 10 2018

Example

T105A = 1/q + q + q^2 + q^5 + q^6 + q^7 + q^8 + 2*q^9 + q^10 + 3*q^11 + 2*q^12 + ...

Crossrefs

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

Sequence in context: A237130 A330524 A336037 * A122805 A103981 A029270

Adjacent sequences: A058770 A058771 A058772 * A058774 A058775 A058776

Keyword

nonn

Author

N. J. A. Sloane, Nov 27 2000

Extensions

More terms from Michel Marcus, Feb 19 2014

Status

approved