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A058689
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McKay-Thompson series of class 46C for the Monster group.
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1
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1, 0, 2, 1, 3, 3, 5, 5, 10, 8, 14, 14, 23, 21, 33, 32, 49, 49, 69, 70, 99, 100, 136, 142, 190, 198, 259, 271, 351, 370, 469, 498, 627, 665, 824, 884, 1084, 1162, 1413, 1518, 1833, 1974, 2360, 2548, 3031, 3272, 3865, 4185, 4917, 5321, 6218, 6739, 7838
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OFFSET
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-1,3
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COMMENTS
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Also McKay-Thompson series of class 46D for the Monster group.
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LINKS
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FORMULA
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Expansion of A + 1 + 2/A, where A = eta(q)*eta(q^23)/(eta(q^2)* eta(q^46)), in powers of q. - G. C. Greubel, Jun 27 2018
a(n) ~ exp(2*Pi*sqrt(2*n/23)) / (2^(3/4) * 23^(1/4) * n^(3/4)). - Vaclav Kotesovec, Jun 28 2018
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EXAMPLE
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T46C = 1/q +2*q +q^2 +3*q^3 +3*q^4 +5*q^5 +5*q^6 +10*q^7 +...
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MATHEMATICA
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eta[q_] := q^(1/24)*QPochhammer[q]; A := (eta[q]*eta[q^23]/( eta[q^2]* eta[q^46])); a:= CoefficientList[Series[1 + A + 2/A, {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jun 27 2018 *)
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PROG
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(PARI) q='q+O('q^50); A = eta(q)*eta(q^23)/(q*eta(q^2)* eta(q^46)); Vec(A + 1 + 2/A) \\ G. C. Greubel, Jun 27 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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STATUS
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approved
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