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Coordination sequence T1 for Zeolite Code APD.
1

%I #17 Apr 10 2018 08:26:35

%S 1,4,10,21,37,57,82,112,145,184,228,275,328,385,446,512,583,658,738,

%T 823,911,1004,1102,1203,1310,1424,1539,1661,1788,1914,2049,2188,2329,

%U 2480,2633,2789,2953,3117,3287,3464,3642,3828,4018,4210,4409,4610,4817,5030

%N Coordination sequence T1 for Zeolite Code APD.

%H R. W. Grosse-Kunstleve, <a href="/A008034/b008034.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.: (x^27+2*x^26+x^25-2*x^24-9*x^23-20*x^22-34*x^21-53*x^20-75*x^19-98*x^18-121*x^17-142*x^16-159*x^15-172*x^14-178*x^13-177*x^12-170*x^11-157*x^10-139*x^9-117*x^8-94*x^7-71*x^6-51*x^5-34*x^4-20*x^3-10*x^2-4*x-1)/(x^5-x^4+x-1)/(x^7-1)/(x^13+x^12+x^11-x^2-x-1).

%K nonn,easy

%O 0,2

%A _Ralf W. Grosse-Kunstleve_