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Coordination sequence T1 for Zeolite Code SAT.
1

%I #15 Apr 10 2018 08:26:36

%S 1,4,10,20,33,50,71,95,124,158,197,239,282,329,380,435,495,558,627,

%T 702,779,858,938,1023,1114,1208,1307,1410,1518,1631,1745,1861,1981,

%U 2106,2236,2369,2506,2648,2794,2944,3097,3253,3413,3577,3744,3915,4091

%N Coordination sequence T1 for Zeolite Code SAT.

%H R. W. Grosse-Kunstleve, <a href="/A027373/b027373.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 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 + 2*x^2 + x^3 + 2*x^4 + 4*x^5 + 2*x^6 + 5*x^7 + 5*x^8 + 5*x^9 + 4*x^10 + 5*x^11 + 5*x^12 + 5*x^13 + 2*x^14 + 4*x^15 + 2*x^16 + x^17 + 2*x^18 + x^20) / ((1 - x)^3 * (1 - x + x^2 - x^3 + x^4) * (1 + x^4) * (1 + x + x^2 + x^3 + x^4) * (1 + x^3 + x^6)). - _Colin Barker_, Dec 19 2015

%K nonn

%O 0,2

%A _Ralf W. Grosse-Kunstleve_