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A052240
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McKay-Thompson series of class 7B for the Monster group.
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3
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1, 0, 2, 8, -5, -4, -10, 12, -7, 8, 46, -36, -26, -44, 46, -28, 42, 188, -132, -96, -167, 172, -98, 120, 596, -420, -286, -492, 496, -280, 368, 1680, -1151, -792, -1332, 1320, -735, 916, 4264, -2908, -1960, -3252, 3200, -1764, 2230, 10104
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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 (eta(q) / eta(q^7))^4 + 4 in powers of q.
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EXAMPLE
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T7B = 1/q + 2*q + 8*q^2 - 5*q^3 - 4*q^4 - 10*q^5 + 12*q^6 - 7*q^7 + 8*q^8 + ...
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MATHEMATICA
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QP = QPochhammer; s = (QP[q]/QP[q^7])^4 + 4*q + O[q]^50; CoefficientList[s, q] (* Jean-François Alcover, Nov 15 2015 *)
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PROG
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(PARI) q='q+O('q^30); Vec(4*q + (eta(q)/eta(q^7))^4) \\ G. C. Greubel, May 05 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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