A008265 - OEIS

%I #21 Apr 10 2018 08:26:35

%S 1,4,11,22,37,59,85,114,147,184,230,280,331,386,445,515,589,662,739,

%T 820,914,1012,1107,1206,1309,1427,1549,1666,1787,1912,2054,2200,2339,

%U 2482,2629,2795,2965,3126,3291,3460,3650,3844,4027,4214,4405,4619,4837,5042

%N Coordination sequence T1 for Zeolite Code ATO.

%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="/A008265/b008265.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(5m)=57m^2+2, a(5m+1)=57m^2+24m+4, a(5m+2)=57m^2+46m+11, a(5m+3)=57m^2+68m+22, a(5m+4)=57m^2+90m+37 (_N. J. A. Sloane_).

%F G.f.: (1+x)*(1+2*x+5*x^2+6*x^3+9*x^4+11*x^5+9*x^6+6*x^7+5*x^8+2*x^9+x^10) / ((1-x)^3*(1+x+x^2+x^3+x^4)^2). - _Colin Barker_, Dec 19 2015

%K nonn,easy

%O 0,2

%A _Ralf W. Grosse-Kunstleve_