A009923 Coordination sequence for CaF2(1), Ca position.

1, 8, 36, 78, 140, 230, 308, 438, 572, 710, 884, 1086, 1260, 1502, 1748, 1982, 2268, 2582, 2852, 3206, 3564, 3894, 4292, 4718, 5084, 5550, 6020, 6446, 6956, 7494, 7956, 8534, 9116, 9638, 10260, 10910, 11468, 12158, 12852, 13470, 14204, 14966

Offset

0,2

References

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

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

R. W. Grosse-Kunstleve, Coordination Sequences and Encyclopedia of Integer Sequences

R. W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane, Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites, Acta Cryst., A52 (1996), pp. 879-889.

Sean A. Irvine, Generating Functions for Coordination Sequences of Zeolites, after Grosse-Kunstleve, Brunner, and Sloane

Index entries for linear recurrences with constant coefficients, signature (0,1,2,0,-2,-1,0,1).

Formula

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

Mathematica

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 *)

Crossrefs

Sequence in context: A048740 A139608 A321778 * A187287 A224159 A321251

Adjacent sequences: A009920 A009921 A009922 * A009924 A009925 A009926

Keyword

nonn,easy

Author

Ralf W. Grosse-Kunstleve

Status

approved