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Search: id:A007261
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| A007261 |
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McKay-Thompson series of class 6b for Monster.
(Formerly M5111)
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+0
2
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| 1, 21, 171, 745, 2418, 7587, 20510, 51351, 122715, 277384, 598812, 1255761, 2543973
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Contribution from Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 21 2009: (Start)
(1 + 21x + 171x^2 + 745x^3 + ...)^2 = (1 + 42x + 783x^2 + 8672x^3 + ...)
where A030197 = (1, 42, 783, 8672, 65367,...). (End)
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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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T6b = 1/q + 21*q + 171*q^3 + 745*q^5 + 2418*q^7 + 7587*q^9 + 20510*q^11 + ...
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CROSSREFS
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A030197 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 21 2009]
Sequence in context: A041848 A125358 A126516 this_sequence A119105 A015880 A113163
Adjacent sequences: A007258 A007259 A007260 this_sequence A007262 A007263 A007264
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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