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Search: id:A058623
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| A058623 |
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McKay-Thompson series of class 30b for Monster. |
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+0
1
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| 1, 0, 1, 2, 0, -2, 3, 0, 1, 6, 0, -2, 9, 0, 4, 12, 0, -2, 18, 0, 1, 26, 0, -4, 34, 0, 5, 48, 0, -4, 66, 0, 8, 86, 0, -12, 115, 0, 12, 152, 0, -14, 196, 0, 17, 252, 0, -16, 324, 0, 17, 410, 0, -24, 518, 0, 25, 652, 0, -28, 815, 0, 42, 1016, 0, -50, 1260, 0, 50, 1556, 0, -60, 1914, 0, 74, 2344, 0
(list; graph; listen)
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OFFSET
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-1,4
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REFERENCES
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D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994).
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LINKS
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Index entries for McKay-Thompson series for Monster simple group
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EXAMPLE
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T30b = 1/q + q + 2*q^2 - 2*q^4 + 3*q^5 + q^7 + 6*q^8 - 2*q^10 + 9*q^11 + ...
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PROGRAM
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(PARI) a(n)=local(A); if(n<-1, 0, A=x^2*O(x^n); A=(eta(x^3+A)*eta(x^30+A)/eta(x^6+A)/eta(x^15+A))^2*x; polcoeff(1/A+A, n)) /* Michael Somos May 02 2004 */
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CROSSREFS
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Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc.
Sequence in context: A128064 A144217 A132814 this_sequence A111565 A141099 A127710
Adjacent sequences: A058620 A058621 A058622 this_sequence A058624 A058625 A058626
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Nov 27, 2000
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