A009890 - OEIS

%I #19 Apr 10 2018 08:26:36

%S 1,4,10,19,33,56,81,105,136,175,219,262,307,363,425,485,548,622,699,

%T 776,859,948,1042,1137,1236,1344,1456,1566,1681,1808,1937,2065,2198,

%U 2339,2486,2633,2782,2940,3105,3268,3435,3612,3791,3971,4157,4351,4548

%N Coordination sequence T1 for Zeolite Code RTE.

%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="/A009890/b009890.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 + 3*x + 8*x^2 + 14*x^3 + 25*x^4 + 38*x^5 + 49*x^6 + 57*x^7 + 59*x^8 + 57*x^9 + 51*x^10 + 39*x^11 + 26*x^12 + 15*x^13 + 7*x^14 + x^15 - x^17 + x^18 + x^19) / ((1 - x)^3 * (1 + x^2) * (1 + x + x^2) * (1 + x + x^2 + x^3 + x^4) * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - _Colin Barker_, Dec 19 2015

%K nonn

%O 0,2

%A _Ralf W. Grosse-Kunstleve_