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A007256
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McKay-Thompson series of class 6C for Monster (and, apart from signs, of class 12A).
(Formerly M4962)
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3
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1, 0, 15, -32, 87, -192, 343, -672, 1290, -2176, 3705, -6336, 10214, -16320, 25905, -39936, 61227, -92928, 138160, -204576, 300756, -435328, 626727, -897408, 1271205, -1790592, 2508783, -3487424, 4824825, -6641664, 9083400, -12371904, 16778784, -22630912, 30407112, -40703040, 54238342, -72018624
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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-1,3
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COMMENTS
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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).
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LINKS
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EXAMPLE
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T6C = 1/q + 15*q - 32*q^2 + 87*q^3 - 192*q^4 + 343*q^5 - 672*q^6 + ...
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MATHEMATICA
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QP = QPochhammer; A007256[n_] := SeriesCoefficient[((QP[q]*(QP[q^3]) /(QP[q^2]*QP[q^6])))^6/q^1 + 6, {q, 0, n}]; Join[{1}, Table[A007256[n], {n, 0, 50}]] (* G. C. Greubel, Oct 09 2017 *)
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PROG
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(PARI) N=66; q='q+O('q^N); Vec( ((eta(q^1)*eta(q^3))/ (eta(q^2)*eta(q^6)))^6/q + 6 ) \\ Joerg Arndt, Apr 09 2016
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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