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%I #24 Apr 10 2018 08:26:35
%S 1,4,10,20,34,53,76,103,135,170,209,252,300,354,410,470,534,602,676,
%T 752,833,918,1007,1103,1200,1301,1406,1516,1634,1752,1874,2000,2130,
%U 2268,2406,2549,2696,2847,3007,3166,3329,3496,3668,3850,4030,4214,4402,4594
%N Coordination sequence T1 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="/A008129/b008129.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 a(15*m+k) = 468*m^2 + b(k)*m + c(k), where b(k), c(k) are constants depending on k, 0<=k<15 (_N. J. A. Sloane_).
%F G.f.: (1 + x)^3 * (1 - x + x^2) * (1 + 2*x^2 + 2*x^4 + x^6 + x^7 + x^8 + 2*x^10 + 2*x^12 + x^14) / ((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 19 2015
%K nonn,easy
%O 0,2
%A _Ralf W. Grosse-Kunstleve_
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