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Coordination sequence T1 for Zeolite Code CGF.
1

%I #17 Apr 10 2018 08:26:36

%S 1,4,11,22,34,50,76,111,142,165,199,254,315,362,403,461,535,612,684,

%T 755,831,915,1012,1113,1208,1301,1405,1524,1643,1756,1874,2006,2144,

%U 2275,2406,2552,2710,2865,3014,3168,3334,3508,3687,3866,4039,4215,4408

%N Coordination sequence T1 for Zeolite Code CGF.

%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="/A019451/b019451.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 + 5*x^2 + 4*x^3 + 9*x^4 + 12*x^5 + 16*x^6 + 17*x^7 + 16*x^8 + 17*x^9 + 16*x^10 + 12*x^11 + 9*x^12 + 4*x^13 + 5*x^14 + x^15 + x^16) /((1 - x)^3 * (1 - x + x^2) * (1 + x^2) * (1 + x + x^2 + x^3 + x^4) * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - _Colin Barker_, Dec 19 2015

%K nonn

%O 0,2

%A _Ralf W. Grosse-Kunstleve_