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Coordination sequence T2 for Zeolite Code THO.
1

%I #22 Apr 10 2018 08:26:35

%S 1,4,9,19,33,50,74,100,129,165,201,242,290,338,393,453,513,580,650,

%T 722,801,883,969,1060,1154,1252,1353,1459,1569,1682,1802,1924,2049,

%U 2181,2313,2450,2594,2738,2889,3045,3201,3364,3530,3698,3873,4051,4233,4420

%N Coordination sequence T2 for Zeolite Code THO.

%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="/A008239/b008239.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(24*m+k) = 1152*m^2 + 96*k*m + one of 24 numbers depending on k, 0<=k<24. - _N. J. A. Sloane_

%F G.f.: (1+x)*(1+x^2)^2*(1+x-x^2+x^3+x^4) / ((1-x)^3*(1+x+x^2)*(1+x^4)). - _Colin Barker_, Dec 20 2015

%K nonn,easy

%O 0,2

%A _Ralf W. Grosse-Kunstleve_