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Coordination sequence for FeS2-Pyrite, S position.
1

%I #18 Jun 12 2019 16:22:39

%S 1,4,18,37,70,105,169,206,292,343,469,513,664,719,919,958,1186,1233,

%T 1519,1541,1858,1885,2269,2262,2680,2675,3169,3121,3652,3603,4219,

%U 4118,4774,4669,5419,5253,6046,5873,6769,6526,7468,7215,8269,7937,9040

%N Coordination sequence for FeS2-Pyrite, S position.

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

%H Sean A. Irvine, <a href="/A009956/b009956.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_10">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,0,2,0,-2,0,-1,0,1).

%F From _Colin Barker_, Feb 13 2018: (Start)

%F G.f.: (1 + 4*x + 17*x^2 + 33*x^3 + 50*x^4 + 60*x^5 + 65*x^6 + 35*x^7 + 20*x^8 + 5*x^9 - 4*x^10 + x^11 + x^12) / ((1 - x)^3*(1 + x)^3*(1 + x^2)^2).

%F a(n) = a(n-2) + 2*a(n-4) - 2*a(n-6) - a(n-8) + a(n-10) for n>12.

%F (End)

%t LinearRecurrence[{0,1,0,2,0,-2,0,-1,0,1},{1,4,18,37,70,105,169,206,292,343,469,513,664},50] (* _Harvey P. Dale_, Jun 12 2019 *)

%K nonn

%O 0,2

%A _Ralf W. Grosse-Kunstleve_