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Search: id:A007243
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| A007243 |
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Normalized McKay-Thompson series of class 3A for the Monster group.
(Formerly M5480)
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+0
4
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| 1, 0, 783, 8672, 65367, 371520, 1741655, 7161696, 26567946, 90521472, 288078201, 864924480, 2469235686, 6748494912, 17746495281, 45086909440, 111066966315, 266057139456, 621284327856, 1417338712800, 3164665156308
(list; graph; listen)
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OFFSET
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-1,3
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COMMENT
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Expansion of Hauptmodul for X_0^{+}(3).
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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. 39.
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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EXAMPLE
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T3A = 1/q +783*q +8672*q^2 +65367*q^3 +371520*q^4 +1741655*q^5 +...
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CROSSREFS
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Apart from constant term, same as A030197, A045480.
Sequence in context: A006113 A003914 A045074 this_sequence A095954 A031734 A031616
Adjacent sequences: A007240 A007241 A007242 this_sequence A007244 A007245 A007246
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KEYWORD
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nonn,nice,easy
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AUTHOR
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njas
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