A009923 - OEIS

%I #25 Apr 10 2018 08:26:36

%S 1,8,36,78,140,230,308,438,572,710,884,1086,1260,1502,1748,1982,2268,

%T 2582,2852,3206,3564,3894,4292,4718,5084,5550,6020,6446,6956,7494,

%U 7956,8534,9116,9638,10260,10910,11468,12158,12852,13470,14204,14966

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

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

%H Vincenzo Librandi, <a href="/A009923/b009923.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_08">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,2,0,-2,-1,0,1).

%F G.f.: -(6*x^9-5*x^8+8*x^7+29*x^6+82*x^5+88*x^4+68*x^3+35*x^2+8*x+1) / ((x-1)^3*(x+1)*(x^2+x+1)^2). - _Colin Barker_, Dec 12 2012

%t CoefficientList[Series[-(6 x^9 - 5 x^8 + 8 x^7 + 29 x^6 + 82 x^5 + 88 x^4 + 68 x^3 + 35 x^2 + 8 x + 1)/((x - 1)^3 (x + 1) (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_