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Search: id:A058531
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| A058531 |
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McKay-Thompson series of class 18A for Monster. |
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+0
2
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| 1, 0, -2, 1, 0, 2, 1, 0, 0, -1, 0, -4, -1, 0, 4, 0, 0, 2, 1, 0, -8, 2, 0, 8, 0, 0, 2, -2, 0, -16, -3, 0, 16, -1, 0, 4, 4, 0, -28, 4, 0, 28, 1, 0, 8, -4, 0, -48, -6, 0, 46, -1, 0, 12, 5, 0, -80, 8, 0, 76, 1, 0, 20, -8, 0, -126, -10, 0, 120, -2, 0, 32, 11, 0, -196, 14, 0, 184, 4, 0, 48
(list; graph; listen)
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OFFSET
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-1,3
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COMMENT
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a(3n)=0, a(3n-1)=A062242(n), a(3n+1)=-2*A092848(n). - Michael Somos Mar 17 2004
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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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T18A = 1/q - 2*q + q^2 + 2*q^4 + q^5 - q^8 - 4*q^10 - q^11 + 4*q^13 + 2*q^16 + ...
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PROGRAM
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(PARI) a(n)=if(n<1, n==-1, n++; X=x+x*O(x^n); polcoeff(eta(X)*eta(X^2)/eta(X^9)/eta(X^18), n)) - Michael Somos Mar 17 2004
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CROSSREFS
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Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc.
Sequence in context: A022881 A093201 A067613 this_sequence A093073 A156319 A083650
Adjacent sequences: A058528 A058529 A058530 this_sequence A058532 A058533 A058534
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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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