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Search: id:A007264
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| A007264 |
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McKay-Thompson series of class 7A for Monster.
(Formerly M5302)
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+0
3
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| 1, 0, 51, 204, 681, 1956, 5135, 12360, 28119, 60572, 125682, 251040, 487426, 920568, 1699611, 3070508, 5445510, 9490116, 16283793, 27537708, 45959775, 75760640, 123471327, 199081632, 317814988
(list; graph; listen)
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OFFSET
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-1,3
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
J. H. Conway and S. P. Norton, Monstrous Moonshine, Bull. Lond. Math. Soc. 11 (1979) 308-339.
N. D. Elkies, Elliptic and modular curves..., in AMS/IP Studies in Advanced Math., 7 (1998), 21-76, esp. p. 66.
D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994).
J. McKay and H. Strauss, The q-series of monstrous moonshine and the decomposition of the head characters. Comm. Algebra 18 (1990), no. 1, 253-278.
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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 (h+7)^2/h, where h = (eta(q)/eta(q^7))^4.
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EXAMPLE
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T7A = 1/q + 51*q + 204*q^2 + 681*q^3 + 1956*q^4 + 5135*q^5 + 12360*q^6 + ...
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CROSSREFS
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Essentially same as A045489 and A030183.
Sequence in context: A031431 A157365 A157916 this_sequence A158640 A107253 A030535
Adjacent sequences: A007261 A007262 A007263 this_sequence A007265 A007266 A007267
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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).
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