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A112167
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McKay-Thompson series of class 24j 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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T24j = 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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