A015697 - OEIS

%I #11 Oct 23 2018 07:20:12

%S 1,-25,675,-19575,606225,-19944225,693835875,-25422933375,

%T 977745218625,-39350424479625,1652904664495875,-72294275991774375,

%U 3285576793503860625,-154866859897225100625,7558086937740656191875,-381335852895175582779375

%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="/A015697/b015697.txt">Table of n, a(n) for n = 0..416</a>

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

%Y Cf. A015679.

%K sign

%O 0,2

%A _N. J. A. Sloane_