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%I #15 Feb 05 2020 08:09:35
%S 1,0,255,3640,27525,154056,713850,2878920,10432650,34739200,107930865,
%T 316293000,881570320,2352362160,6040988775,14993606776,36092638500,
%U 84513447480,192980579410,430636071000,940847483976,2015771306800,4241235245220,8774382020520
%N Character of extremal vertex operator algebra of rank 15.
%D G. Hoehn, Selbstduale Vertexoperatorsuperalgebren und das Babymonster, Bonner Mathematische Schriften, Vol. 286 (1996), 1-85.
%H G. Hoehn (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.: q^(5/4) * (b(q)^30 - 30*b(q)^6) where b(q) = q^(-1/24) * Product_{k>=0} (1+q^(2*k+1)). - _Sean A. Irvine_, Feb 04 2020
%F a(n) ~ 5^(1/4) * exp(Pi*sqrt(5*n)) / (2^(3/2) * n^(3/4)). - _Vaclav Kotesovec_, Feb 05 2020
%t nmax = 30; CoefficientList[Series[Product[(1 + x^(2*k + 1))^30, {k, 0, nmax}] - 30*x*Product[(1 + x^(2*k + 1))^6, {k, 0, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Feb 05 2020 *)
%Y Cf. A007245, A097340, A028523, A028525, A028511, A000521.
%K nonn,easy
%O 0,3
%A _N. J. A. Sloane_
%E More terms from _Sean A. Irvine_, Feb 04 2020
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