A028550 - OEIS

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A028550

Character of extremal vertex operator algebra of rank 45/2.

1, 0, 0, 4920, 89955, 977769, 7670445, 48447405, 260865495, 1241931125, 5354625996, 21268009665, 78809488530, 275102649810, 911548565730, 2884607044338, 8761626447030, 25649311876605, 72623115075205, 199467098107110, 532810313084637, 1387200530781195

(list; graph; refs; listen; history; text; internal format)

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 = 45/2. - Sean A. Irvine, Feb 29 2020

CROSSREFS

Cf. A000700.

Sequence in context: A013884 A255983 A043480 * A091878 A015357 A241934

Adjacent sequences: A028547 A028548 A028549 * A028551 A028552 A028553

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Sean A. Irvine, Feb 29 2020

STATUS

approved