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Search: id:A028511
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| A028511 |
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q-expansion of character of vertex-operator superalgebra of rank 23.5 on which Baby Monster group acts. |
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1
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| 1, 0, 0, 4371, 96256, 1143745, 9646891, 64680601, 366845011, 1829005611, 8223700027, 33950840617, 130416170627, 470887671187, 1610882889457, 5254605009307, 16428803075153, 49446546607298, 143782211788218
(list; graph; listen)
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OFFSET
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0,4
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REFERENCES
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G. Hoehn, Selbstduale Vertexoperatorsuperalgebren und das Babymonster, Bonner Mathematische Schriften, Vol. 286 (1996), 1-85.
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LINKS
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G. Hoehn (gerald(AT)math.ksu.edu), Selbstduale Vertexoperatorsuperalgebren und das Babymonster, Doctoral Dissertation, Univ. Bonn, Jul 15 1995 (pdf, ps).
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FORMULA
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Let X=sqrt( Sum (q^(m^2/2), m=-inf..inf) / q^(1/24) Product( 1-q^n, n=1..inf ) ). Then series is X^47 - 47*X^23.
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PROGRAM
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(PARI) a(n)=local(A); if(n<0, 0, A=prod(i=1, (1+n)\2, 1+x^(2*i-1), 1+x*O(x^n)); polcoeff(A^47-47*x*A^23, n)) /* Michael Somos Jul 1 2004 */
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CROSSREFS
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Sequence in context: A043865 A043874 A001378 this_sequence A101558 A111345 A027506
Adjacent sequences: A028508 A028509 A028510 this_sequence A028512 A028513 A028514
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KEYWORD
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nonn
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AUTHOR
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njas
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