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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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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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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LINKS
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Index entries for McKay-Thompson series for Monster simple group
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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: A157934 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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N. J. A. Sloane (njas(AT)research.att.com).
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