A028540 Character of extremal vertex operator algebra of rank 17.5.

1, 0, 0, 7385, 28315, 427987, 1398635, 10063590, 30106965, 148903370, 415546516, 1630361950, 4294071285, 14375319490, 36019030960, 107362236457, 257518347380, 702230132030, 1620548828150, 4117804435185, 9180947306314, 22023446814405, 47606945661555

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 = 35/2. - Sean A. Irvine, Feb 29 2020

Crossrefs

Cf. A000700.

Sequence in context: A328663 A022255 A189504 * A347164 A206202 A364182

Adjacent sequences: A028537 A028538 A028539 * A028541 A028542 A028543

Keyword

nonn,easy

Author

N. J. A. Sloane.

Extensions

More terms from Sean A. Irvine, Feb 29 2020

Status

approved