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Search: id:A058205
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| A058205 |
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McKay-Thompson series of class 11A for the Monster Group. |
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+0
4
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| 1, 0, 17, 46, 116, 252, 533, 1034, 1961, 3540, 6253, 10654, 17897, 29284, 47265, 74868, 117158, 180608, 275562, 415300, 620210, 916860, 1344251, 1953974, 2819664, 4038300, 5746031, 8122072, 11413112, 15943576, 22153909, 30620666
(list; graph; listen)
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OFFSET
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-1,3
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REFERENCES
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D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994).
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LINKS
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Index entries for McKay-Thompson series for Monster simple group
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FORMULA
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Expansion of -6 + (1 + 3*F)^2* (1/F + 1 + 3*F) where F = eta(q^3)* eta(q^33)/ (eta(q)* eta(q^11)) in powers of q.
G.f. is Fourier series of a level 11 modular function. f(-1 / (11t)) = f(t) where q = exp(2 pi i t).
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EXAMPLE
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T11A = 1/q + 17*q + 46*q^2 + 116*q^3 + 252*q^4 + 533*q^5 + 1034*q^6 + ...
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CROSSREFS
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Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc.
Apart from initial terms, same as A003295.
Sequence in context: A032698 A120099 A045570 this_sequence A034783 A126912 A051616
Adjacent sequences: A058202 A058203 A058204 this_sequence A058206 A058207 A058208
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Nov 27 2000
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