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%I #26 Feb 27 2019 11:26:10
%S 1,8,12,48,42,128,92,248,162,408,252,608,362,848,492,1128,642,1448,
%T 812,1808,1002,2208,1212,2648,1442,3128,1692,3648,1962,4208,2252,4808,
%U 2562,5448,2892,6128,3242,6848,3612,7608,4002,8408,4412,9248,4842
%N Coordination sequence for CaF2(2), Ca position.
%D Gmelin Handbook of Inorg. and Organomet. Chem., 8th Ed., 1994, TYPIX search code (225) cF12.
%H Sean A. Irvine, <a href="/A009926/b009926.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_06">Index entries for linear recurrences with constant coefficients</a>, signature (0, 3, 0, -3, 0, 1).
%F From _Colin Barker_, Sep 09 2014: (Start)
%F a(n) = (-2*(-5+(-1)^n)-5*(-3+(-1)^n)*n^2)/4 for n>0.
%F a(n) = 3*a(n-2)-3*a(n-4)+a(n-6) for n>6.
%F G.f.: -(x^6+8*x^5+9*x^4+24*x^3+9*x^2+8*x+1) / ((x-1)^3*(x+1)^3). (End)
%F G.f.: (1+8*x+9*x^2+24*x^3+9*x^4+8*x^5+x^6) / (1-x^2)^3
%t Join[{1}, LinearRecurrence[{0, 3, 0, -3, 0, 1},{ 8, 12, 48, 42, 128, 92}, 44]] (* _Georg Fischer_, Feb 27 2019 *)
%K nonn
%O 0,2
%A _Ralf W. Grosse-Kunstleve_
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