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A058713
McKay-Thompson series of class 55A for the Monster group.
1
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
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
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Nov 27 2000
EXTENSIONS
More terms from Michel Marcus, Feb 24 2014
STATUS
approved