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%I #7 Dec 15 2023 12:58:58
%S 1,33,561,6534,58542,429726,2688741,14734797,72139188,320292159,
%T 1304830527,4923228882,17335268874,57322733226,178956174243,
%U 529880976603,1494051617256,4025876961117,10400637791973,25836376187094,61877364279654,143225155573038
%N Coordination sequence for 20-dimensional cyclotomic lattice Z[zeta_33].
%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_20">Index entries for linear recurrences with constant coefficients</a>, signature (20, -190, 1140, -4845, 15504, -38760, 77520, -125970, 167960, -184756, 167960, -125970, 77520, -38760, 15504, -4845, 1140, -190, 20, -1).
%F G.f.: (x^20 + 13*x^19 + 91*x^18 + 444*x^17 + 1677*x^16 + 5187*x^15 + 13614*x^14 + 31083*x^13 + 61422*x^12 + 100561*x^11 + 126214*x^10 + 100561*x^9 + 61422*x^8 + 31083*x^7 + 13614*x^6 + 5187*x^5 + 1677*x^4 + 444*x^3 + 91*x^2 + 13*x + 1)/(x-1)^20.
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Mar 18 2007
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