A015693 Expansion of e.g.f. theta_3^(-17/2).

1, -17, 323, -6783, 155601, -3861465, 102864195, -2922828615, 88124295105, -2806906632705, 94095203991075, -3309050756278575, 121731738138774225, -4672861215811814025, 186756565415026882275, -7755673484776330488375

Offset: 0

Author

N. J. A. Sloane

Keywords

• sign

References

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

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..422

Programs

Mathematica

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