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A045489
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McKay-Thompson series of class 7A for the Monster group with a(0) = 3.
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2
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1, 3, 51, 204, 681, 1956, 5135, 12360, 28119, 60572, 125682, 251040, 487426, 920568, 1699611, 3070508, 5445510, 9490116, 16283793, 27537708, 45959775, 75760640, 123471327, 199081632, 317814988
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OFFSET
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-1,2
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REFERENCES
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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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Table of n, a(n) for n=-1..23.
Index entries for McKay-Thompson series for Monster simple group
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FORMULA
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Expansion of -7 + (h+7)^2/h, where h = (eta(q)/eta(q^7))^4.
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EXAMPLE
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1/q + 3 + 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 A007264 and A030183.
Sequence in context: A144987 A062216 A116630 * A145242 A182512 A075869
Adjacent sequences: A045486 A045487 A045488 * A045490 A045491 A045492
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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