login
A022043
Theta series of D_12 lattice.
2
1, 264, 7944, 64416, 253704, 825264, 1938336, 4437312, 8118024, 15653352, 24832944, 42517728, 61903776, 98021616, 133522752, 201364416, 259776264, 374842512, 471023592, 653690400, 793078704, 1082704128, 1279397088, 1699194816, 1980797856, 2578950264, 2949559536
OFFSET
0,2
REFERENCES
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 118.
LINKS
N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
MATHEMATICA
terms = 21; f[q_] = LatticeData["D12", "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 *)
CROSSREFS
Sequence in context: A112069 A282781 A223339 * A035315 A288877 A278409
KEYWORD
nonn
EXTENSIONS
More terms from Seiichi Manyama, Oct 16 2018
STATUS
approved