A008035 - OEIS

%I #18 Apr 10 2018 08:26:35

%S 1,4,11,22,38,59,83,113,147,186,230,278,330,386,448,513,585,660,739,

%T 824,912,1006,1104,1207,1313,1425,1541,1661,1787,1916,2051,2190,2334,

%U 2482,2634,2791,2952,3119,3290,3465,3645,3829,4018,4212,4411,4613,4820,5032

%N Coordination sequence T2 for Zeolite Code APD.

%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="/A008035/b008035.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^2)*(1 +3*x +7*x^2 +10*x^3 +14*x^4 +17*x^5 +20*x^6 +23*x^7 +24*x^8 +25*x^9 +24*x^10 +23*x^11 +20*x^12 +17*x^13 +14*x^14 +10*x^15 +7*x^16 +3*x^17 +x^18) / ((1-x)^3*(1 +x +x^2)*(1 +x +x^2 +x^3 +x^4 +x^5 +x^6)*(1 +x +x^2 +x^3 +x^4 +x^5 +x^6 +x^7 +x^8 +x^9 +x^10)). - _Colin Barker_, Dec 20 2015

%F G.f.: (1 + 4*x + 11*x^2 + 21*x^3 + 34*x^4 + 48*x^5 + 61*x^6 + 74*x^7 + 84*x^8 + 92*x^9 + 96*x^10 + 96*x^11 + 92*x^12 + 84*x^13 + 74*x^14 + 61*x^15 + 48*x^16 + 34*x^17 + 21*x^18 + 11*x^19 + 4*x^20 + x^21) / (1-x^3) / (1-x^7) / (1-x^11). - _Sean A. Irvine_, Mar 13 2018

%K nonn

%O 0,2

%A _Ralf W. Grosse-Kunstleve_