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Expansion of e.g.f. theta_3^(25/2).
3

%I #11 Oct 23 2018 07:16:51

%S 1,25,575,12075,230025,3969225,62850375,953260875,14929952625,

%T 254408009625,4570418955375,82108573036875,1505493410045625,

%U 30038848390175625,641671899357864375,13683270472813816875

%N Expansion of e.g.f. theta_3^(25/2).

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

%H Seiichi Manyama, <a href="/A015679/b015679.txt">Table of n, a(n) for n = 0..444</a>

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

%K nonn

%O 0,2

%A _N. J. A. Sloane_