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A112166
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McKay-Thompson series of class 24i for the Monster group.
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1
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1, 2, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 1, 6, 0, 0, 0, 0, -2, 12, 0, 0, 0, 0, 4, 18, 0, 0, 0, 0, -4, 28, 0, 0, 0, 0, 5, 44, 0, 0, 0, 0, -6, 64, 0, 0, 0, 0, 9, 92, 0, 0, 0, 0, -12, 132, 0, 0, 0, 0, 13, 186, 0, 0, 0, 0, -16, 256, 0, 0, 0, 0, 21, 352, 0, 0, 0, 0, -26, 476, 0, 0, 0, 0, 29, 638, 0, 0, 0, 0, -36
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OFFSET
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0,2
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LINKS
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FORMULA
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Expansion of A + 2*q/A, where A = q^(1/2)*(eta(q^6)/eta(q^12))^2, in powers of q. - G. C. Greubel, Jun 25 2018
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EXAMPLE
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T24i = 1/q + 2*q - 2*q^11 + 4*q^13 + q^23 + 6*q^25 - 2*q^35 + 12*q^37 + ...
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MATHEMATICA
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eta[q_] := q^(1/24)*QPochhammer[q]; A:= q^(1/2)*(eta[q^6]/eta[q^12])^2; a:= CoefficientList[Series[A + 2*q/A, {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jun 25 2018 *)
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PROG
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(PARI) q='q+O('q^80); A = (eta(q^6)/eta(q^12))^2; Vec(A + 2*q/A) \\ G. C. Greubel, Jun 25 2018
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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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