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Character of extremal vertex operator algebra of rank 48.
2

%I #13 Aug 15 2018 12:21:31

%S 1,0,1,42987520,40491909396,8504046600192,802981794805760,

%T 45134786619187200,1748627440235850690,50995654778821050368,

%U 1186243544863135973376,22919825576889573027840,378899952498119982698200,5481261425027249309859840

%N Character of extremal vertex operator algebra of rank 48.

%C 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

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

%D 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.

%H G. Hoehn (gerald(AT)math.ksu.edu), Selbstduale Vertexoperatorsuperalgebren und das Babymonster, Doctoral Dissertation, Univ. Bonn, Jul 15 1995 (<a href="http://www.math.ksu.edu/~gerald/papers/dr.pdf">pdf</a>, <a href="http://www.math.ksu.edu/~gerald/papers/dr.ps.gz">ps</a>).

%F 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

%e G.f. = q^-2 + 1 + 42987520q + 40491909396q^2 + 8504046600192q^3 + ... - _Michael Somos_, Aug 15 2018

%K nonn,easy

%O -2,4

%A _N. J. A. Sloane_.

%E More terms from _Sean A. Irvine_, Mar 24 2013

%E Changed offset to -2. - _Michael Somos_, Aug 15 2018