A009957 Coordination sequence for FeS2-Pyrite, Fe position.

1, 6, 18, 44, 68, 120, 152, 234, 270, 386, 422, 576, 608, 804, 828, 1070, 1082, 1374, 1370, 1716, 1692, 2096, 2048, 2514, 2438, 2970, 2862, 3464, 3320, 3996, 3812, 4566, 4338, 5174, 4898, 5820, 5492, 6504, 6120, 7226, 6782, 7986, 7478, 8784, 8208

Offset

0,2

References

Gmelin Handbook of Inorg. and Organomet. Chem., 8th Ed., 1994, TYPIX search code (205) cP12

Links

Sean A. Irvine, 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

Formula

From Colin Barker, Sep 09 2014: (Start)

a(n) = (13+3*(-1)^n-2*(1+(-1)^n)*n-2*(-18+(-1)^n)*n^2)/8 for n>0.

a(n) = 3*a(n-2)-3*a(n-4)+a(n-6) for n>6.

G.f.: -(x^6+6*x^5+17*x^4+26*x^3+15*x^2+6*x+1) / ((x-1)^3*(x+1)^3). (End)

Crossrefs

Sequence in context: A272700 A191101 A184630 * A344992 A011929 A070735

Adjacent sequences: A009954 A009955 A009956 * A009958 A009959 A009960

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved