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Expansion of e.g.f. theta_3^(7/2).
2

%I #11 Oct 23 2018 07:19:13

%S 1,7,35,105,273,4095,38115,86625,540225,22444695,215417475,1819488825,

%T 18942548625,273922023375,9015078147075,69890980784625,

%U -152873391045375,34948775541054375,718624343013451875,6694758964203935625

%N Expansion of e.g.f. theta_3^(7/2).

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

%H Seiichi Manyama, <a href="/A015667/b015667.txt">Table of n, a(n) for n = 0..448</a>

%t nmax = 25; CoefficientList[Series[EllipticTheta[3, 0, x]^(7/2), {x, 0, nmax}], x] * Range[0, nmax]! (* _Vaclav Kotesovec_, Oct 23 2018 *)

%K sign

%O 0,2

%A _N. J. A. Sloane_