A008036 - OEIS

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

%S 1,4,9,19,34,48,66,96,127,151,183,232,281,316,357,427,499,540,588,684,

%T 778,823,879,1000,1118,1168,1227,1375,1522,1572,1632,1812,1987,2035,

%U 2097,2308,2513,2560,2619,2863,3103,3144,3198,3480,3754,3787,3837,4156

%N Coordination sequence T1 for Zeolite Code AST.

%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="/A008036/b008036.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) * (1+x+4*x^2+6*x^3+6*x^4+9*x^5+6*x^6+6*x^7+4*x^8+x^9+x^10) / ((1-x)^3 * (1+x^2)^3 * (1+x+x^2)). - _Colin Barker_, Dec 18 2015

%K nonn

%O 0,2

%A _Ralf W. Grosse-Kunstleve_