login

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

Expansion of e.g.f. theta_3^(-13/2).
2

%I #13 Oct 23 2018 08:15:17

%S 1,-13,195,-3315,62673,-1299285,29228355,-707636475,18316505025,

%T -504116658045,14685387955875,-451033728019875,14555826008348625,

%U -492141539705941125,17387673626552904675,-640456882350467056875

%N Expansion of e.g.f. theta_3^(-13/2).

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

%H Seiichi Manyama, <a href="/A015690/b015690.txt">Table of n, a(n) for n = 0..425</a>

%t nmax = 25; CoefficientList[Series[EllipticTheta[3, 0, x]^(-13/2), {x, 0, nmax}], x] * Range[0, nmax]! (* _Vaclav Kotesovec_, Oct 23 2018 *)

%K sign

%O 0,2

%A _N. J. A. Sloane_