A028547 Character of extremal vertex operator algebra of rank 21.

1, 0, 0, 5726, 76461, 751254, 5237281, 30375456, 151013415, 671169030, 2714707968, 10170955326, 35680451331, 118321420182, 373444988337, 1128414562478, 3279359068167, 9202440746982, 25016402118925, 66065997838176, 169904122645467, 426396466800736

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..21.

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 = 21. - Sean A. Irvine, Feb 29 2020

Crossrefs

Cf. A000700.

Sequence in context: A330208 A252422 A183647 * A224726 A043484 A163027

Adjacent sequences: A028544 A028545 A028546 * A028548 A028549 A028550

Keyword

nonn,easy

Author

N. J. A. Sloane.

Extensions

More terms from Sean A. Irvine, Feb 29 2020

Status

approved