A022045 Theta series of D_14 lattice.
1, 364, 16044, 200928, 1089452, 4196920, 12547808, 31553344, 70439852, 142487436, 268594872, 476105504, 800698080, 1296257144, 2022013760, 3056208064, 4507001772, 6481076056, 9123064524, 12637846368, 17190762680, 22999441920, 30453867808, 39772497856, 51254988512
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..10000
- G. Nebe and N. J. A. Sloane, Home page for this lattice
Programs
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Mathematica
terms = 20; f[q_] = LatticeData["D14", "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