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A058773
McKay-Thompson series of class 105A for Monster.
1
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
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
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Nov 27 2000
EXTENSIONS
More terms from Michel Marcus, Feb 19 2014
STATUS
approved