%I #9 Dec 15 2023 12:32:58
%S 1,21,231,1764,10479,51450,216531,800121,2642514,7913619,21754425,
%T 55475826,132425181,298205544,637710549,1302463575,2553071556,
%U 4823274561,8814149379,15629570544,26967111675,45382254246,74648134911,120238185669,189964987254,294815553375,450031184421,676489071006
%N Coordination sequence for 12-dimensional cyclotomic lattice Z[zeta_21].
%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_12">Index entries for linear recurrences with constant coefficients</a>, signature (12, -66, 220, -495, 792, -924, 792, -495, 220, -66, 12, -1).
%F G.f.: (x^12 + 9*x^11 + 45*x^10 + 158*x^9 + 432*x^8 + 909*x^7 + 1302*x^6 + 909*x^5 + 432*x^4 + 158*x^3 + 45*x^2 + 9*x + 1)/(x-1)^12.
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Mar 17 2007
|