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A028543
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Character of extremal vertex operator algebra of rank 19.
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0
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1, 0, 0, 6726, 51490, 522538, 2819011, 15598126, 66776089, 278409356, 1012789015, 3553473100, 11459870045, 35680739958, 104848228086, 298518570528, 814386983257, 2161013972842, 5546772124012, 13896849891232, 33892153400144, 80925183641844, 188938349276850
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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 = 19. - 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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