A019454 - OEIS

%I #17 Apr 10 2018 08:26:36

%S 1,4,9,18,34,55,75,98,133,177,216,248,291,352,420,478,529,595,675,759,

%T 841,921,1007,1099,1201,1310,1416,1519,1629,1756,1884,2004,2132,2273,

%U 2418,2557,2697,2852,3017,3180,3339,3502,3675,3856,4044,4232,4414,4600

%N Coordination sequence T4 for Zeolite Code CGF.

%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="/A019454/b019454.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 + 2*x + 5*x^2 + 10*x^3 + 18*x^4 + 26*x^5 + 34*x^6 + 44*x^7 + 50*x^8 + 56*x^9 + 49*x^10 + 47*x^11 + 34*x^12 + 30*x^13 + 17*x^14 + 9*x^15 + 3*x^16 + 2*x^17 - x^18 + 2*x^19 - 2*x^20 + 2*x^21) / ((1 - x)^3 * (1 - x + x^2) * (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 21 2015

%K nonn

%O 0,2

%A _Ralf W. Grosse-Kunstleve_