A022051 Theta series of D_20 lattice.
1, 760, 77560, 2508000, 34729720, 259114704, 1327461600, 5341699520, 17701924600, 51294999960, 131880275664, 312126610080, 680432137440, 1404010658960, 2724593155520, 5089580732736, 9062110326520, 15699349246320, 26159307313560, 42719885410400, 67517852274384
Offset: 0
Keywords
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
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Mathematica
terms = 17; f[q_] = LatticeData["D20", "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