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%I #9 Oct 01 2023 14:33:46
%S 1,15,120,675,2940,10425,31320,82365,194520,420795,846600,1602975,
%T 2883060,4962165,8221800,13178025,20514480,31120455,46134360,66992955,
%U 95486700,133821585,184687800,251335605,337658760,448285875,588680040,765247095
%N Coordination sequence for 8-dimensional cyclotomic lattice Z[zeta_15].
%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_08">Index entries for linear recurrences with constant coefficients</a>, signature (8, -28, 56, -70, 56, -28, 8, -1).
%F G.f.: (x^8+7*x^7+28*x^6+79*x^5+130*x^4+79*x^3+28*x^2+7*x+1)/(1-x)^8.
%t CoefficientList[Series[(x^8+7x^7+28x^6+79x^5+130x^4+79x^3+28x^2+7x+1)/(1-x)^8,{x,0,30}],x] (* or *) LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{1,15,120,675,2940,10425,31320,82365,194520},40] (* _Harvey P. Dale_, Oct 01 2023 *)
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Mar 17 2007