A028545 Character of extremal vertex operator algebra of rank 20.

1, 0, 0, 6240, 64910, 624128, 3928640, 21820160, 102066525, 435107840, 1681228928, 6065581440, 20483625750, 65651665920, 200400925120, 587021103104, 1655255008870, 4513857474560, 11934605001600, 30689664533440, 76909902651384, 188251191994880, 450777531819200

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