A015672 Expansion of e.g.f. theta_3^(13/2).
1, 13, 143, 1287, 9321, 62205, 598455, 7702695, 78423345, 647284365, 9370936575, 174468068775, 2175194446425, 25400498248125, 529759106051175, 11093219396634375, 183808243512518625, 2892889119253258125
Offset: 0
Keywords
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..447
Programs
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Mathematica
nmax = 25; CoefficientList[Series[EllipticTheta[3, 0, x]^(13/2), {x, 0, nmax}], x] * Range[0, nmax]! (* Vaclav Kotesovec, Oct 23 2018 *)