%I #9 Dec 15 2023 12:18:00
%S 1,18,144,702,2448,6786,15984,33390,63648,112914,189072,301950,463536,
%T 688194,992880,1397358,1924416,2600082,3453840,4518846,5832144,
%U 7434882,9372528,11695086,14457312,17718930,21544848,26005374,31176432,37139778,43983216
%N Coordination sequence for 6dimensional cyclotomic lattice Z[zeta_18].
%H M. Beck and S. Hosten, <a href="http://arxiv.org/abs/math/0508136">Cyclotomic polytopes and growth series of cyclotomic lattices</a>, arXiv math.CO/0508136
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6, 15, 20, 15, 6, 1).
%F G.f.: (x^2+4*x+1)^3/(1x)^6.
%t CoefficientList[Series[(x^2+4x+1)^3/(1x)^6,{x,0,40}],x] (* _Harvey P. Dale_, Sep 03 2018 *)
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Mar 17 2007
