A015666 Expansion of e.g.f. theta_3^(5/2).
1, 5, 15, 15, 105, 1845, 5175, -11025, 363825, 4011525, 46734975, 367203375, -909822375, 105415435125, 1137191430375, -7081746296625, 202916199110625, 6031044627733125, 96887972385579375, 589023558627879375
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..449
Programs
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Mathematica
nmax = 25; CoefficientList[Series[EllipticTheta[3, 0, x]^(5/2), {x, 0, nmax}], x] * Range[0, nmax]! (* Vaclav Kotesovec, Oct 23 2018 *)