A028520 Character of extremal vertex operator algebra of rank 48.

1, 0, 1, 42987520, 40491909396, 8504046600192, 802981794805760, 45134786619187200, 1748627440235850690, 50995654778821050368, 1186243544863135973376, 22919825576889573027840, 378899952498119982698200, 5481261425027249309859840

Offset

-2,4

Comments

On top of page 72 of [Hoehn 1995] is "Table 5.1: Charaktere der extremalen VOAs fur die Range c = 8, 16, ..., 48 und 72". The 6th line of the table is "c = 48: q^(-2)(1 + q^2 + 42987520q^3 + 40491909396q^4 + 8504046600192q^5 + ...)". - Michael Somos, Aug 15 2018

References

G. Hoehn, Selbstduale Vertexoperatorsuperalgebren und das Babymonster, Bonner Mathematische Schriften, Vol. 286 (1996), 1-85.

F. L. Williams, The role of the Patterson-Selberg zeta function of a hyperbolic cylinder in three-dimensional gravity with a negative cosmological constant, A Window Into Zeta and Modular Physics, MSRI Publications, Vol. 57, 2010.

Links

Table of n, a(n) for n=-2..11.

G. Hoehn (gerald(AT)math.ksu.edu), Selbstduale Vertexoperatorsuperalgebren und das Babymonster, Doctoral Dissertation, Univ. Bonn, Jul 15 1995 (pdf, ps).

Formula

For n odd, a(n) = 2*A000521(2*n). For n>0, even, a(n) = 2*A000521(2*n) + A000521(n/2). - Sean A. Irvine, Mar 24 2013

Example

G.f. = q^-2 + 1 + 42987520q + 40491909396q^2 + 8504046600192q^3 + ... - Michael Somos, Aug 15 2018

Crossrefs

Sequence in context: A254098 A276714 A187963 * A288843 A186580 A186589

Adjacent sequences: A028517 A028518 A028519 * A028521 A028522 A028523

Keyword

nonn,easy

Author

N. J. A. Sloane.

Extensions

More terms from Sean A. Irvine, Mar 24 2013

Changed offset to -2. - Michael Somos, Aug 15 2018

Status

approved