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Coordination sequence for Zeolite Code DFT.
1

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

%S 1,4,10,21,36,55,79,106,138,175,215,260,309,362,420,482,548,618,693,

%T 772,855,943,1034,1130,1231,1335,1444,1557,1674,1796,1922,2052,2186,

%U 2325,2468,2615,2767,2922,3082,3247,3415,3588,3765,3946,4132,4322,4516

%N Coordination sequence for Zeolite Code DFT.

%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="/A038408/b038408.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 From _Colin Barker_, Feb 13 2018: (Start)

%F G.f.: (1 + x)^3*(1 + x^2)^3 / ((1 - x)^3*(1 + x + x^2)*(1 + x + x^2 + x^3 + x^4)).

%F a(n) = a(n-1) + a(n-3) - a(n-4) + a(n-5) - a(n-6) - a(n-8) + a(n-9) for n>9.

%F (End)

%K nonn

%O 0,2

%A _Ralf W. Grosse-Kunstleve_