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Coordination sequence T2 for Zeolite Code SAT.
1

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

%S 1,4,9,17,30,50,75,100,126,157,194,234,275,323,381,444,505,562,624,

%T 696,773,851,932,1023,1122,1219,1312,1407,1512,1626,1741,1857,1979,

%U 2109,2242,2373,2506,2646,2793,2943,3094,3249,3410,3576,3745,3918,4096

%N Coordination sequence T2 for Zeolite Code SAT.

%H R. W. Grosse-Kunstleve, <a href="/A027374/b027374.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 + x^2) * (1 + x + x^2 + 2*x^3 + 4*x^4 + 5*x^5 + 3*x^6 + 2*x^7 + 6*x^8 + 8*x^9 + 6*x^10 + 2*x^11 + 3*x^12 + 5*x^13 + 4*x^14 + 2*x^15 + x^16 + x^17 + x^18) / ((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 20 2015

%K nonn

%O 0,2

%A _Ralf W. Grosse-Kunstleve_