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A007258
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McKay-Thompson series of class 6E for Monster (and, apart from signs, of class 12B).
(Formerly M4052)
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8
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1, 0, 6, 4, -3, -12, -8, 12, 30, 20, -30, -72, -46, 60, 156, 96, -117, -300, -188, 228, 552, 344, -420, -1008, -603, 732, 1770, 1048, -1245, -2976, -1776, 2088, 4908, 2900, -3420, -7992, -4658, 5460, 12756, 7408, -8583, -19944, -11564, 13344, 30756, 17744, -20448, -46944, -26916
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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-1,3
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COMMENTS
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Also normalized Hauptmodul for Gamma_0(6).
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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FORMULA
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Expansion of 5 + eta(q)^5*eta(q^3)/(eta(q^2)*eta(q^6)^5) in powers of q.
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EXAMPLE
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T6E = 1/q + 6*q + 4*q^2 - 3*q^3 - 12*q^4 - 8*q^5 + 12*q^6 + 30*q^7 + ...
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MATHEMATICA
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QP = QPochhammer; s = 5*q + QP[q]^5*(QP[q^3]/(QP[q^2]*QP[q^6]^5)) + 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(5 +(eta(q)^5*eta(q^3))/(q*eta(q^2)*eta(q^6)^5)) \\ G. C. Greubel, May 09 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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