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A028545 Character of extremal vertex operator algebra of rank 20. 0
1, 0, 0, 6240, 64910, 624128, 3928640, 21820160, 102066525, 435107840, 1681228928, 6065581440, 20483625750, 65651665920, 200400925120, 587021103104, 1655255008870, 4513857474560, 11934605001600, 30689664533440, 76909902651384, 188251191994880, 450777531819200 (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..22.

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 = 20. - Sean A. Irvine, Feb 29 2020

CROSSREFS

Cf. A000700.

Sequence in context: A092726 A291422 A200830 * A173943 A071130 A031577

Adjacent sequences:  A028542 A028543 A028544 * A028546 A028547 A028548

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 October 27 12:08 EDT 2021. Contains 348276 sequences. (Running on oeis4.)