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A058508
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McKay-Thompson series of class 15A for Monster.
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3
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1, 0, 8, 22, 42, 70, 155, 246, 421, 722, 1101, 1730, 2761, 4062, 6106, 9040, 13065, 18806, 27081, 37950, 53183, 74290, 102213, 140048, 191612, 258426, 348300, 467484, 622023, 825016, 1090957, 1432290, 1875930, 2448610, 3179136, 4114996
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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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a(n) ~ exp(4*Pi*sqrt(n/15)) / (sqrt(2) * 15^(1/4) * n^(3/4)). - Vaclav Kotesovec, Sep 07 2017
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EXAMPLE
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T15A = 1/q + 8*q + 22*q^2 + 42*q^3 + 70*q^4 + 155*q^5 + 246*q^6 + 421*q^7 + ...
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MATHEMATICA
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QP = QPochhammer; A = QP[q]*(QP[q^5]/(QP[q^3]*QP[q^15])); s = -4q + (A + 3*(q/A))^2 + O[q]^40; CoefficientList[s, q] (* Jean-François Alcover, Nov 16 2015, adapted from A153765 *)
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PROG
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(PARI) q='q+O('q^30); F= (eta(q)*eta(q^5)/(eta(q^3)*eta(q^15)))^2; Vec(2*q + F + 9*q^2/F) \\ G. C. Greubel, Jun 03 2018
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CROSSREFS
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Cf. A134783 (same sequence except for n=0).
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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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