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%I #7 Dec 15 2023 13:01:23
%S 1,34,578,6562,56066,385186,2220098,11058466,48663554,192392502,
%T 692365222,2292039926,7041328702,20224734998,54668049574,139859359958,
%U 340371518068,791527671386,1765874861994,3792914301082,7868201032994,15808446542074
%N Coordination sequence for 16-dimensional cyclotomic lattice Z[zeta_34].
%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_16">Index entries for linear recurrences with constant coefficients</a>, signature (16, -120, 560, -1820, 4368, -8008, 11440, -12870, 11440, -8008, 4368, -1820, 560, -120, 16, -1).
%F G.f.: (x^16 + 18*x^15 + 154*x^14 + 834*x^13 + 3214*x^12 + 9402*x^11 + 21778*x^10 + 41226*x^9 + 65536*x^8 + 41226*x^7 + 21778*x^6 + 9402*x^5 + 3214*x^4 + 834*x^3 + 154*x^2 + 18*x + 1)/(x-1)^16
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Mar 18 2007
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