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A028539
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Character of extremal vertex operator algebra of rank 17.
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0
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1, 0, 0, 7582, 19907, 413678, 956573, 9163204, 20235644, 128121010, 274454086, 1331787072, 2786077946, 11198909732, 22949142928, 80096132094, 161086799989, 503513373888, 995154766305, 2846600748484, 5534753633023, 14717879636288, 28177487199544, 70484779859958
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OFFSET
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0,4
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REFERENCES
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G. Höhn, Selbstduale Vertexoperatorsuperalgebren und das Babymonster, Bonner Mathematische Schriften, Vol. 286 (1996), 1-85.
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LINKS
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G. Höhn (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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G.f.: x^(2*r/24) * (B(x)^(2*r) - 2*r*B(x)^(2*r-24) - r*(47-2*r)*B(x)^(2*r-48) where B(x) = x^(-1/24) * Product_{k>=0} (1+x^(2*k+1)) = x^(-1/24) * A000700 and r = 17. - Sean A. Irvine, Feb 29 2020
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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