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Expansion of e.g.f. theta_3^(-15/2).
2

%I #13 Oct 23 2018 08:15:26

%S 1,-15,255,-4845,101385,-2309535,56759175,-1494125325,41881856625,

%T -1244022735375,38993819043375,-1285240980610125,44407270217165625,

%U -1604088315616161375,60431927134988784375,-2369411881012489438125

%N Expansion of e.g.f. theta_3^(-15/2).

%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 102.

%H Seiichi Manyama, <a href="/A015691/b015691.txt">Table of n, a(n) for n = 0..424</a>

%t nmax = 25; CoefficientList[Series[EllipticTheta[3, 0, x]^(-15/2), {x, 0, nmax}], x] * Range[0, nmax]! (* _Vaclav Kotesovec_, Oct 23 2018 *)

%K sign

%O 0,2

%A _N. J. A. Sloane_