%I #27 Mar 17 2023 14:39:55

%S 1,10,34,82,142,218,322,434,562,722,886,1066,1282,1498,1730,2002,2270,

%T 2554,2882,3202,3538,3922,4294,4682,5122,5546,5986,6482,6958,7450,

%U 8002,8530,9074,9682,10262,10858,11522,12154,12802,13522,14206,14906

%N Coordination sequence for CaF2(1), F position.

%D Gmelin Handbook of Inorg. and Organomet. Chem., 8th Ed., 1994, TYPIX search code (225) cF12.

%H Vincenzo Librandi, <a href="/A009924/b009924.txt">Table of n, a(n) for n = 0..1000</a>

%H R. W. Grosse-Kunstleve, <a href="/A005897/a005897.html">Coordination Sequences and Encyclopedia of Integer Sequences</a>

%H R. W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane, <a href="http://neilsloane.com/doc/ac96cs/">Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites</a>, Acta Cryst., A52 (1996), pp. 879-889.

%H Sean A. Irvine, <a href="/A008000/a008000_1.pdf">Generating Functions for Coordination Sequences of Zeolites, after Grosse-Kunstleve, Brunner, and Sloane</a>

%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,2,-2,0,-1,1).

%F G.f.: -(x^3+4*x^2+2*x+1)*(x^4+5*x^3+6*x^2+7*x+1) / ((x-1)^3*(x^2+x+1)^2). - _Colin Barker_, Dec 12 2012

%F a(n) = a(n-1) + 2*a(n-3) - 2*a(n-4) - a(n-6) + a(n-7). - _Wesley Ivan Hurt_, Mar 17 2023

%t CoefficientList[Series[-(x^3 + 4 x^2 + 2 x + 1) (x^4 + 5 x^3 + 6 x^2 + 7 x + 1)/((x - 1)^3 (x^2 + x + 1)^2), {x, 0, 50}], x] (* _Vincenzo Librandi_, Oct 15 2013 *)

%K nonn,easy

%O 0,2

%A _Ralf W. Grosse-Kunstleve_