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

%I #10 Oct 23 2018 07:10:30

%S 1,15,195,2145,19665,158535,1447875,18243225,232985025,2435846175,

%T 28443399075,508347464625,8431258460625,109007191668375,

%U 1781609910955875,40590985621811625,792811219265690625

%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="/A015673/b015673.txt">Table of n, a(n) for n = 0..446</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 nonn

%O 0,2

%A _N. J. A. Sloane_