A015690 Expansion of e.g.f. theta_3^(-13/2).

1, -13, 195, -3315, 62673, -1299285, 29228355, -707636475, 18316505025, -504116658045, 14685387955875, -451033728019875, 14555826008348625, -492141539705941125, 17387673626552904675, -640456882350467056875

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..425

Programs

Mathematica

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