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A126900 Coordination sequence for 6-dimensional cyclotomic lattice Z[zeta_18]. 0

%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 6-dimensional 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/(1-x)^6.

%t CoefficientList[Series[(x^2+4x+1)^3/(1-x)^6,{x,0,40}],x] (* _Harvey P. Dale_, Sep 03 2018 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Mar 17 2007

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Last modified May 25 04:52 EDT 2024. Contains 372782 sequences. (Running on oeis4.)