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A007264
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McKay-Thompson series of class 7A for Monster.
(Formerly M5302)
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2
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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; refs; listen; history; internal format)
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OFFSET
| -1,3
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REFERENCES
| 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.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| Index entries for McKay-Thompson series for Monster simple group
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FORMULA
| Expansion of (h+7)^2/h, where h = (eta(q)/eta(q^7))^4.
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EXAMPLE
| 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
| Essentially same as A045489 and A030183.
Sequence in context: A031431 A157365 A157916 * A158640 A107253 A030535
Adjacent sequences: A007261 A007262 A007263 * A007265 A007266 A007267
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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