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A028537 Character of extremal vertex operator algebra of rank 16. 0
1, 0, 0, 7936, 2296, 412672, 65536, 8777216, 1085468, 117516288, 12320768, 1168488704, 109365184, 9394478080, 806748160, 64249840128, 5156716678, 386395015168, 29347020800, 2091202273536, 151675552480, 10358666717184, 722376130560, 47567642539520 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

REFERENCES

G. Höhn, Selbstduale Vertexoperatorsuperalgebren und das Babymonster, Bonner Mathematische Schriften, Vol. 286 (1996), 1-85.

LINKS

Table of n, a(n) for n=0..23.

G. Höhn (gerald(AT)math.ksu.edu), Selbstduale Vertexoperatorsuperalgebren und das Babymonster, Doctoral Dissertation, Univ. Bonn, Jul 15 1995 (pdf, ps).

FORMULA

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 = 16. - Sean A. Irvine, Feb 29 2020

CROSSREFS

Cf. A000700.

Sequence in context: A031767 A250629 A185466 * A302901 A179708 A162010

Adjacent sequences:  A028534 A028535 A028536 * A028538 A028539 A028540

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Sean A. Irvine, Feb 29 2020

STATUS

approved

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Last modified January 27 08:21 EST 2022. Contains 350606 sequences. (Running on oeis4.)