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%I #20 Apr 10 2018 08:26:35
%S 1,4,10,20,34,52,74,102,136,172,208,248,298,356,414,470,530,600,678,
%T 756,832,912,1004,1106,1206,1300,1398,1512,1638,1760,1874,1992,2126,
%U 2272,2414,2548,2686,2842,3012,3176,3328,3484,3662,3856,4042,4214,4390,4588
%N Coordination sequence T3 for Zeolite Code LIO.
%D W. M. Meier, D. H. Olson and Ch. Baerlocher, Atlas of Zeolite Structure Types, 4th Ed., Elsevier, 1996.
%H R. W. Grosse-Kunstleve, <a href="/A008131/b008131.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 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 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)^3 * (1 - x + 3*x^2 - 2*x^3 + 4*x^4 - 3*x^5 + 6*x^6 - 4*x^7 + 5*x^8 - 4*x^9 + 6*x^10 - 3*x^11 + 4*x^12 - 2*x^13 + 3*x^14 - x^15 + x^16) / ((1 - x)^3 * (1 + x + x^2 + x^3 + x^4)^2 * (1 - x + x^3 - x^4 + x^5 - x^7 + x^8)). - _Colin Barker_, Dec 21 2015
%K nonn
%O 0,2
%A _Ralf W. Grosse-Kunstleve_
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