A022049 Theta series of D_18 lattice.

1, 612, 48996, 1207680, 12573540, 73617480, 318102912, 1090632960, 3176573796, 8148505828, 18918517320, 40578145920, 81375600000, 154398101832, 279331331328, 484986858240, 812932819812, 1320330798792, 2085523894756, 3214498469760, 4845373383240, 7157876711424, 10386510802560

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

References

• J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 118.

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..1000

Programs

Mathematica

terms = 18; f[q_] = LatticeData["D18", "ThetaSeriesFunction"][-I*Log[q]/Pi]; s = f[q] + O[q]^(2 terms); DeleteCases[CoefficientList[s, q], 0][[1 ;; terms]] (* Jean-François Alcover, Jul 06 2017 *)

Extensions

More terms from Seiichi Manyama, Oct 16 2018