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Expansion of e.g.f. theta_3^(-17/2).
2

%I #13 Oct 23 2018 08:15:35

%S 1,-17,323,-6783,155601,-3861465,102864195,-2922828615,88124295105,

%T -2806906632705,94095203991075,-3309050756278575,121731738138774225,

%U -4672861215811814025,186756565415026882275,-7755673484776330488375

%N Expansion of e.g.f. theta_3^(-17/2).

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

%H Seiichi Manyama, <a href="/A015693/b015693.txt">Table of n, a(n) for n = 0..422</a>

%t nmax = 25; CoefficientList[Series[EllipticTheta[3, 0, x]^(-17/2), {x, 0, nmax}], x] * Range[0, nmax]! (* _Vaclav Kotesovec_, Oct 23 2018 *)

%K sign

%O 0,2

%A _N. J. A. Sloane_