A015694 Expansion of e.g.f. theta_3^(-19/2).

1, -19, 399, -9177, 228969, -6146595, 176336055, -5376116025, 173372815665, -5890443433875, 210126743128575, -7846697354074425, 305934601802254425, -12425119660246968675, 524572676975580207975, -22979378711569440785625

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..420

Programs

Mathematica

nmax = 25; CoefficientList[Series[EllipticTheta[3, 0, x]^(-19/2), {x, 0, nmax}], x] * Range[0, nmax]! (* Vaclav Kotesovec, Oct 23 2018 *)