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A045483
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McKay-Thompson series of class 5B for the Monster group with a(0) = 1.
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3
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1, 1, 9, 10, -30, 6, -25, 96, 60, -250, 45, -150, 544, 360, -1230, 184, -675, 2310, 1410, -4830, 750, -2450, 8196, 4920, -16180, 2376, -7875, 25644, 15000, -48720, 7126, -22800, 73221, 42310
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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 7 + (eta(q) / eta(q^5))^6 in powers of q. - Michael Somos, May 22 2013
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EXAMPLE
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1/q + 1 + 9*q + 10*q^2 - 30*q^3 + 6*q^4 - 25*q^5 + 96*q^6 + 60*q^7 - ...
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MATHEMATICA
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a[ n_] := SeriesCoefficient[ 7 + 1/q (QPochhammer[ q] / QPochhammer[ q^5])^6, {q, 0, n}] (* Michael Somos, May 22 2013 *)
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PROG
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(PARI) q='q+O('q^30); a= 7 + (eta(q)/eta(q^5))^6/q; Vec(a) \\ G. C. Greubel, Jun 02 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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