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A009923 Coordination sequence for CaF2(1), Ca position. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified July 30 11:46 EDT 2021. Contains 346359 sequences. (Running on oeis4.)