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A058600
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McKay-Thompson series of class 27a for Monster.
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1
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1, 0, 3, -1, 0, 3, -1, 0, 6, 0, 0, 9, 0, 0, 15, 1, 0, 21, 0, 0, 33, 1, 0, 45, 0, 0, 66, 1, 0, 87, -1, 0, 123, -1, 0, 162, -1, 0, 222, 0, 0, 288, 1, 0, 384, -1, 0, 495, 1, 0, 648, 0, 0, 825, 2, 0, 1062, -2, 0, 1341, -2, 0, 1707, -1, 0, 2136, 1, 0, 2688, 2, 0, 3339, -1, 0, 4164, 2, 0, 5136, 1, 0
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OFFSET
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-1,3
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LINKS
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FORMULA
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Expansion of A + 3*q^2/A, where A = q*(eta(q^3)/eta(q^27)), in powers of q. - G. C. Greubel, Jun 22 2018
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EXAMPLE
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T27a = 1/q + 3*q - q^2 + 3*q^4 - q^5 + 6*q^7 + 9*q^10 + 15*q^13 + q^14 + ...
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MATHEMATICA
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eta[q_]:= q^(1/24)*QPochhammer[q]; A:= q*(eta[q^3]/eta[q^27]); a:= CoefficientList[Series[A + 3*q^2/A, {q, 0, 60}], q]; Table[a[[n]], {n, 0, 50}] (* G. C. Greubel, Jun 22 2018 *)
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PROG
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(PARI) q='q+O('q^50); A = eta(q^3)/eta(q^27); Vec(A + 3*q^2/A) \\ G. C. Greubel, Jun 22 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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EXTENSIONS
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STATUS
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approved
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