A028551 Character of extremal vertex operator algebra of rank 23.

1, 0, 0, 4646, 93380, 1059794, 8621895, 56103210, 310044370, 1510551680, 6651075761, 26933846630, 101620829275, 360788432800, 1214753145335, 3903008000874, 12028224670920, 35705261501310, 102455800359789, 285054726362240, 770966832733441, 2031593146266830

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..21.

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 = 23. - Sean A. Irvine, Feb 29 2020

Crossrefs

Cf. A000700.

Sequence in context: A233855 A068268 A227482 * A031615 A122713 A235235

Adjacent sequences: A028548 A028549 A028550 * A028552 A028553 A028554

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Feb 29 2020

Status

approved