login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

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

%I #12 Oct 23 2018 08:14:23

%S 1,-7,63,-693,8841,-127575,2047815,-36081045,690863985,-14263534215,

%T 315469515375,-7434244696725,185817177956025,-4906778826324375,

%U 136422375634920375,-3981559981797523125,121659806332798358625

%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="/A015684/b015684.txt">Table of n, a(n) for n = 0..432</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_