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A028523 Character of extremal vertex operator algebra of rank 14. 3
1, 0, 266, 3136, 21035, 108416, 468846, 1777472, 6094557, 19300736, 57245902, 160628608, 429755858, 1103180288, 2730448664, 6542017216, 15223697440, 34504423296, 76349075502, 165267238528, 350579755239, 729912895104, 1493567972036, 3007226905088, 5964243944078 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

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

LINKS

Table of n, a(n) for n=0..24.

G. Hoehn (gerald(AT)math.ksu.edu), Selbstduale Vertexoperatorsuperalgebren und das Babymonster, Doctoral Dissertation, Univ. Bonn, Jul 15 1995 (pdf, ps).

FORMULA

G.f.: q^(7/6) * (b(q)^28 - 28*b(q)^4) where b(q) = q^(-1/24) * Product_{k>=0} (1+q^(2*k+1)). - Sean A. Irvine, Feb 04 2020

a(n) ~ 7^(1/4) * exp(Pi*sqrt(14*n/3)) / (2^(5/4) * 3^(1/4) * n^(3/4)). - Vaclav Kotesovec, Feb 05 2020

MATHEMATICA

nmax = 30; CoefficientList[Series[Product[(1 + x^(2*k + 1))^28, {k, 0, nmax}] - 28*x*Product[(1 + x^(2*k + 1))^4, {k, 0, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Feb 05 2020 *)

CROSSREFS

Cf. A000700, A007245, A097340, A028524, A028525, A028511, A000521.

Sequence in context: A242320 A225935 A205229 * A265034 A278625 A144662

Adjacent sequences:  A028520 A028521 A028522 * A028524 A028525 A028526

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Sean A. Irvine, Feb 04 2020

STATUS

approved

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Last modified February 28 08:41 EST 2020. Contains 332323 sequences. (Running on oeis4.)