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Expansion of e.g.f. theta_3^(5/2).
2

%I #11 Oct 23 2018 06:52:26

%S 1,5,15,15,105,1845,5175,-11025,363825,4011525,46734975,367203375,

%T -909822375,105415435125,1137191430375,-7081746296625,202916199110625,

%U 6031044627733125,96887972385579375,589023558627879375

%N Expansion of e.g.f. theta_3^(5/2).

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

%H Seiichi Manyama, <a href="/A015666/b015666.txt">Table of n, a(n) for n = 0..449</a>

%t nmax = 25; CoefficientList[Series[EllipticTheta[3, 0, x]^(5/2), {x, 0, nmax}], x] * Range[0, nmax]! (* _Vaclav Kotesovec_, Oct 23 2018 *)

%K sign

%O 0,2

%A _N. J. A. Sloane_