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A008001 Coordination sequence T1 for Zeolite Code AEI.

%I A008001 #14 Apr 10 2018 08:26:35
%S A008001 1,4,9,17,29,45,64,85,111,143,177,213,253,297,345,396,449,506,568,633,
%T A008001 702,774,847,925,1008,1094,1184,1276,1371,1472,1577,1684,1793,1906,
%U A008001 2024,2145,2269,2396,2526,2660,2798,2941,3088,3236,3387,3544,3704,3866,4032
%N A008001 Coordination sequence T1 for Zeolite Code AEI.
%D A008001 W. M. Meier, D. H. Olson and Ch. Baerlocher, Atlas of Zeolite Structure Types, 4th Ed., Elsevier, 1996
%H A008001 R. W. Grosse-Kunstleve, <a href="/A008001/b008001.txt">Table of n, a(n) for n = 0..1000</a>
%H A008001 R. W. Grosse-Kunstleve, <a href="/A005897/a005897.html">Coordination Sequences and Encyclopedia of Integer Sequences</a>
%H A008001 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 A008001 Sean A. Irvine, <a href="/A008000/a008000_1.pdf">Generating Functions for Coordination Sequences of Zeolites, after Grosse-Kunstleve, Brunner, and Sloane</a>
%H A008001 International Zeolite Association, <a href="http://www.iza-structure.org/databases/">Database of Zeolite Structures</a>
%p A008001 (1-x)*(1+7*x^2+13*x^3+22*x^4+33*x^5+45*x^6+57*x^7+71*x^8+85*x^9+
%p A008001 99*x^10+111*x^11+123*x^12+132*x^13+139*x^14+142*x^15+143*x^16+
%p A008001 142*x^17+139*x^18+132*x^19+123*x^20+111*x^21+99*x^22+85*x^23+
%p A008001 71*x^24+3*x+57*x^25+45*x^26+33*x^27+22*x^28+7*x^30+3*x^31+x^32+
%p A008001 13*x^29)*(x+1)^2/(1-x^3)/(1-x^5)/(1-x^11)/(1-x^16);
%K A008001 nonn,easy
%O A008001 0,2
%A A008001 _Ralf W. Grosse-Kunstleve_