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A045478
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McKay-Thompson series of class 2A for Monster.
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197
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1, 8, 4372, 96256, 1240002, 10698752, 74428120, 431529984, 2206741887, 10117578752, 42616961892, 166564106240, 611800208702, 2125795885056, 7040425608760, 22327393665024, 68134255043715, 200740384538624
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OFFSET
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-1,2
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LINKS
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FORMULA
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Expansion of (1 + 32*A + (64*A)^2)/A, where A = (eta(q^2)/eta(q))^24, in powers of q. - G. C. Greubel, Jun 19 2018
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MATHEMATICA
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nmax = 30; CoefficientList[Series[32*x + 4096*x^2*Product[(1 + x^k)^24, {k, 1, nmax}] + Product[1/(1 + x^k)^24, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Apr 01 2017 *)
eta[q_]:= q^(1/24)*QPochhammer[q]; A:= (eta[q^2]/eta[q])^24; a:= CoefficientList[Series[q*(1 + 32*A + 64^2*A^2)/A, {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jun 19 2018 *)
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PROG
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(PARI) q='q+O('q^50); A = q*(eta(q^2)/eta(q))^24; Vec((1+32*A+(64*A)^2)/A) \\ G. C. Greubel, Jun 19 2018
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CROSSREFS
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KEYWORD
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nonn,nice
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AUTHOR
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STATUS
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approved
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