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Search: id:A030183
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| A030183 |
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Expansion of Hauptmodul for X_0^{+}(7). Also McKay-Thompson series of class 7A for Monster. |
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+0
3
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| 1, 10, 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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0,2
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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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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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q^(-1)+10+51*q+204*q^2+681*q^3+O(q^4).
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CROSSREFS
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Essentially same as A045489 and A007264.
Sequence in context: A124162 A077044 A069038 this_sequence A135242 A041186 A058827
Adjacent sequences: A030180 A030181 A030182 this_sequence A030184 A030185 A030186
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KEYWORD
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nonn
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AUTHOR
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njas
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