A015665 Expansion of e.g.f. theta_3^(3/2).

1, 3, 3, -3, 81, 315, -765, 4725, 16065, 1091475, 10843875, -65956275, 770425425, 5892561675, -6512831325, 213901813125, 47691165146625, 1318815779155875, -7354191439720125, 223312383805636125, 2055628831852220625

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..450

Crossrefs

Cf. A015682.

Programs

Mathematica

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