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Search: id:A007242
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| A007242 |
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a(n) = coefficient of q^(2n-1) in McKay-Thompson series of class 2a for Monster.
(Formerly M5455)
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+0
1
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| 1, -492, -22590, -367400, -3764865, -28951452, -182474434, -990473160, -4780921725, -20974230680, -84963769662, -321583404672, -1147744866180
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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From "More on Replicable Functions": `The fifth row consists of the class names. As stated above, the numbers are the replication orders. For those functions arising in Monstrous Moonshine, the letter corresponds to the relevant conjugacy class in the Monster in Atlas notation (or, if there is more than one class, the one with the first letter). For non-monstrous functions, the class names use lower case letters and, in accordance with Atlas notation, are arranged generally in descending order of Frobenian.`
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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.
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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EXAMPLE
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T2a = 1/q - 492*q - 22590*q^3 - 367400*q^5 - 3764865*q^7 - ...
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CROSSREFS
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Sequence in context: A051115 A060975 A082079 this_sequence A116207 A045007 A062903
Adjacent sequences: A007239 A007240 A007241 this_sequence A007243 A007244 A007245
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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