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Search: id:A007249
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| A007249 |
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McKay-Thompson series of class 4D for Monster. Unsigned sequence is McKay-Thompson series of class 8B for Monster.
(Formerly M4846)
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+0
2
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| 1, -12, 66, -232, 639, -1596, 3774, -8328, 17283, -34520, 66882, -125568, 229244, -409236, 716412, -1231048, 2079237, -3459264, 5677832, -9200232, 14729592, -23325752, 36567222, -56778888, 87369483, -133315692
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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The convolution square root of A007191, and also the left and right borders of the triangle A161196. [Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 06 2009]
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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).
McKay, John; Strauss, Hubertus. 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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Expansion of Product (1+q^m)^(-12), m=1..inf.
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EXAMPLE
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T4D = 1/q - 12*q + 66*q^3 - 232*q^5 + 639*q^7 - 1596*q^9 + 3774*q^11 - ...
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CROSSREFS
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Sequence in context: A080559 A045853 A014787 this_sequence A112142 A114243 A000972
Adjacent sequences: A007246 A007247 A007248 this_sequence A007250 A007251 A007252
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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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