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A058598
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McKay-Thompson series of class 26a for Monster.
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1
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1, 2, 4, 6, 13, 16, 27, 38, 57, 78, 112, 146, 205, 272, 367, 476, 634, 816, 1059, 1354, 1738, 2196, 2791, 3492, 4387, 5460, 6798, 8396, 10383, 12740, 15645, 19084, 23288, 28262, 34297, 41412, 49985, 60088, 72184, 86404, 103354, 123214, 146779, 174354, 206895, 244900, 289606, 341660, 402685
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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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a(n) ~ exp(2*Pi*sqrt(2*n/13)) / (2^(3/4) * 13^(1/4) * n^(3/4)). - Vaclav Kotesovec, Jun 28 2018
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EXAMPLE
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T26a = 1/q + 2*q + 4*q^3 + 6*q^5 + 13*q^7 + 16*q^9 + 27*q^11 + 38*q^13 + ...
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MATHEMATICA
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eta[q_]:= q^(1/24)*QPochhammer[q]; nmax := 130; A:= (eta[q]/eta[q^13])^2;
f := A + 13/A; a:= CoefficientList[Series[(q*(6 + f) + O[q]^nmax)^(1/2), {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jun 22 2018 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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