A028543 - OEIS

%I #13 Feb 29 2020 18:51:26

%S 1,0,0,6726,51490,522538,2819011,15598126,66776089,278409356,

%T 1012789015,3553473100,11459870045,35680739958,104848228086,

%U 298518570528,814386983257,2161013972842,5546772124012,13896849891232,33892153400144,80925183641844,188938349276850

%N Character of extremal vertex operator algebra of rank 19.

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

%H G. Höhn (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 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 = 19. - _Sean A. Irvine_, Feb 29 2020

%Y Cf. A000700.

%K nonn,easy

%O 0,4

%A _N. J. A. Sloane_

%E More terms from _Sean A. Irvine_, Feb 29 2020