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A101558
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McKay-Thompson series of class 2A for the Monster group.
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5
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1, 0, 4372, 96256, 1240002, 10698752, 74428120, 431529984, 2206741887, 10117578752, 42616961892, 166564106240, 611800208702, 2125795885056, 7040425608760, 22327393665024, 68134255043715, 200740384538624
(list; graph; refs; listen; history; internal format)
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OFFSET
| -1,3
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COMMENTS
| Hauptmodul for Gamma_0(2)+.
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REFERENCES
| R. E. Borcherds, Review of "Moonshine Beyond the Monster ..." (Cambridge, 2006), Bull. Amer. Math. Soc., 45 (2008), 675-679.
D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994).
T. Gannon, Moonshine Beyond the Monster, Cambridge, 2006; see p. 423.
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LINKS
| N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
Index entries for McKay-Thompson series for Monster simple group
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EXAMPLE
| T2A = 1/q + 4372q + 96256q^2 + 1240002q^3 +...
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PROG
| (PARI) a(n)=local(A); if(n<-1, 0, A=prod(k=1, n\2+1, 1-x^(2*k-1), 1+x^2*O(x^n))^24; polcoeff(64^2*x/A+A/x+24, n))
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CROSSREFS
| A045478, A007241, A106207, A007267, A101558 are all essentially the same sequence.
Cf. A007241 (same except for 0-th term), A007267, A045478.
Sequence in context: A207047 A001378 A028511 * A163583 A203403 A206148
Adjacent sequences: A101555 A101556 A101557 * A101559 A101560 A101561
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KEYWORD
| nonn
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AUTHOR
| Michael Somos, Dec 06 2004
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