A028544 Character of extremal vertex operator algebra of rank 39/2.

1, 0, 0, 6487, 58422, 569829, 3352323, 18437679, 82994106, 348339797, 1310464389, 4650749220, 15379052975, 48512285916, 145469679888, 419752300006, 1165090913961, 3132596831559, 8164711662419, 20718093427629, 51236693043471, 123846409657100, 292897534403136

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 = 39/2. - Sean A. Irvine, Feb 29 2020

Crossrefs

Cf. A000700.

Sequence in context: A207837 A104242 A031842 * A237245 A049529 A284102

Adjacent sequences: A028541 A028542 A028543 * A028545 A028546 A028547

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Feb 29 2020

Status

approved