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Coordination sequence T2 for Zeolite Code AFX.
1

%I #19 Apr 10 2018 08:26:35

%S 1,4,9,17,29,45,64,85,110,141,178,218,256,295,343,400,457,509,565,633,

%T 707,778,847,924,1013,1106,1194,1279,1373,1480,1590,1694,1796,1908,

%U 2032,2158,2279,2400,2533,2678,2821,2956,3094,3247,3409,3566,3718,3876

%N Coordination sequence T2 for Zeolite Code AFX.

%D W. M. Meier, D. H. Olson and Ch. Baerlocher, Atlas of Zeolite Structure Types, 4th Ed., Elsevier, 1996.

%H R. W. Grosse-Kunstleve, <a href="/A009865/b009865.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 International Zeolite Association, <a href="http://www.iza-structure.org/databases/">Database of Zeolite Structures</a>

%F G.f.: (1 + x) * (1 + x + x^2) * (1 + 2*x^2 + 2*x^3 + 2*x^4 + 3*x^5 + 3*x^6 + 2*x^7 + 4*x^8 + 3*x^9 + 4*x^10 + 2*x^11 + 3*x^12 + 3*x^13 + 2*x^14 + 2*x^15 + 2*x^16 + x^18) / ((1 - x)^3 * (1 + x^2) * (1 + x + x^2 + x^3 + x^4) * (1 - x + x^2 - x^3 + x^4 - x^5 + x^6) * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - _Colin Barker_, Dec 20 2015

%K nonn

%O 0,2

%A _Ralf W. Grosse-Kunstleve_