A015682 Expansion of e.g.f. theta_3^(-3/2).

1, -3, 15, -105, 873, -8595, 97335, -1233225, 17298225, -266220675, 4444840575, -79989057225, 1543271585625, -31735822993875, 692766164665575, -15995714865755625, 389241925213766625, -9954282875453791875

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..438

Crossrefs

Cf. A015665.

Programs

Mathematica

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