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Coordination sequence T1 for Zeolite Code SAV.
1

%I #13 Apr 10 2018 08:26:36

%S 1,4,9,17,29,45,65,88,113,143,179,215,252,298,349,398,451,511,572,635,

%T 705,780,856,933,1014,1101,1192,1286,1384,1484,1586,1693,1804,1919,

%U 2040,2162,2283,2411,2546,2681,2819,2964,3111,3258,3410,3569,3731,3893

%N Coordination sequence T1 for Zeolite Code SAV.

%H R. W. Grosse-Kunstleve, <a href="/A057314/b057314.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 + x + 3*x^2 + 4*x^3 + 6*x^4 + 8*x^5 + 9*x^6 + 9*x^7 + 9*x^8 + 9*x^9 + 6*x^10 + 4*x^11 + 3*x^12 + 2*x^13 + x^15 - x^16) / ((1 - x)^3 * (1 - x + x^2) * (1 + x^2) * (1 + x + x^2) * (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_