A028538 Character of extremal vertex operator algebra of rank 33/2.

1, 0, 0, 7766, 11220, 408507, 515251, 8731041, 10727508, 117594686, 143769813, 1177370274, 1444368904, 9540744345, 11777809890, 65817281629, 81839688513, 399515775318, 500416597406, 2183502919917, 2754197375292, 10926841762815, 13873107464241, 50708154081123

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 = 33/2. - Sean A. Irvine, Feb 29 2020

Crossrefs

Cf. A000700.

Sequence in context: A321037 A031646 A252556 * A354976 A123990 A176375

Adjacent sequences: A028535 A028536 A028537 * A028539 A028540 A028541

Keyword

nonn,easy

Author

N. J. A. Sloane.

Extensions

More terms from Sean A. Irvine, Feb 29 2020

Status

approved