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%I #16 Oct 16 2018 07:28:58
%S 1,264,7944,64416,253704,825264,1938336,4437312,8118024,15653352,
%T 24832944,42517728,61903776,98021616,133522752,201364416,259776264,
%U 374842512,471023592,653690400,793078704,1082704128,1279397088,1699194816,1980797856,2578950264,2949559536
%N Theta series of D_12 lattice.
%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 118.
%H Seiichi Manyama, <a href="/A022043/b022043.txt">Table of n, a(n) for n = 0..10000</a>
%H N. Heninger, E. M. Rains and N. J. A. Sloane, <a href="http://arXiv.org/abs/math.NT/0509316">On the Integrality of n-th Roots of Generating Functions</a>, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
%t 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 *)
%K nonn
%O 0,2
%A _N. J. A. Sloane_
%E More terms from _Seiichi Manyama_, Oct 16 2018
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