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Coordination sequence T2 for Scapolite.
1

%I #20 Apr 10 2018 08:26:35

%S 1,4,11,26,43,58,90,132,159,196,257,308,352,418,495,568,637,712,810,

%T 910,993,1092,1213,1324,1432,1550,1681,1830,1961,2076,2238,2416,2547,

%U 2692,2887,3068,3224,3394,3595,3808,3987,4160,4396,4632,4811,5022,5281,5514

%N Coordination sequence T2 for Scapolite.

%D Inorganic Crystal Structure Database: Collection Code 9502.

%H Sean A. Irvine, <a href="/A008263/b008263.txt">Table of n, a(n) for n = 0..1000</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>

%F G.f.: (-1 -10*x^2 -24*x^3 -42*x^4 -3*x -72*x^5 -114*x^6 -155*x^7 -210*x^8 -260*x^9 -301*x^10 -338*x^11 -352*x^13 -338*x^14 -301*x^15 -260*x^16 -210*x^17 -155*x^18 -114*x^19 -72*x^20 -42*x^21 -24*x^22 -10*x^23 -3*x^24 -x^25 -352*x^12)*(1 +x)*(-1 +x^2)^2 / (-1 +x^4)^2 / (-1 +x^6) / (-1 +x^7) / (-1 +x^9).

%t Table[SeriesCoefficient[(-1 - 10 x^2 - 24 x^3 - 42 x^4 - 3 x - 72 x^5 - 114 x^6 - 155 x^7 - 210 x^8 - 260 x^9 - 301 x^10 - 338 x^11 - 352 x^13 - 338 x^14 - 301 x^15 - 260 x^16 - 210 x^17 - 155 x^18 - 114 x^19 - 72 x^20 - 42 x^21 - 24 x^22 - 10 x^23 - 3 x^24 - x^25 - 352 x^12) (1 + x) (-1 + x^2)^2/(-1 + x^4)^2/(-1 + x^6)/(-1 + x^7)/(-1 + x^9), {x, 0, n}], {n, 0, 47}] (* _Michael De Vlieger_, Dec 23 2015 *)

%K nonn,easy

%O 0,2

%A _Ralf W. Grosse-Kunstleve_