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Search: id:A007244
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| A007244 |
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McKay-Thompson series of class 3B for Monster.
(Formerly M5310)
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+0
3
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| 1, 0, 54, -76, -243, 1188, -1384, -2916, 11934, -11580, -21870, 79704, -71022, -123444, 421308, -352544, -581013, 1885572, -1510236, -2388204, 7469928, -5777672, -8852004, 26869968, -20218587, -30177684, 89408826
(list; graph; listen)
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OFFSET
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-1,3
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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. 38.
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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12 + (eta(q)/eta(q^3))^12.
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EXAMPLE
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T3B = 1/q + 54*q - 76*q^2 - 243*q^3 + 1188*q^4 - 1384*q^5 - 2916*q^6 + ...
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CROSSREFS
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Essentially same as A030182, A045481.
Cf. A030182.
Sequence in context: A025323 A005129 A039532 this_sequence A114817 A045005 A043185
Adjacent sequences: A007241 A007242 A007243 this_sequence A007245 A007246 A007247
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KEYWORD
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sign,easy,nice
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AUTHOR
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njas
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