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%I #22 Apr 10 2018 08:26:35
%S 1,4,12,25,42,61,88,122,160,200,246,299,358,417,480,550,628,710,796,
%T 887,984,1083,1188,1298,1412,1530,1656,1789,1926,2063,2206,2356,2512,
%U 2670,2832,3001,3178,3357,3540,3728,3922,4120,4324,4533,4746,4961,5184,5414
%N Coordination sequence T2 for Zeolite Code ATV.
%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="/A008044/b008044.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(40*m+k) = 3920*m^2 + 196*k*m + one of 40 numbers depending on k, 0<=k<40. - _N. J. A. Sloane_
%F G.f.: (1 + 2*x + 6*x^2 + 7*x^3 + 10*x^4 + 9*x^5 + 18*x^6 + 16*x^7 + 21*x^8 + 16*x^9 + 21*x^10 + 16*x^11 + 18*x^12 + 9*x^13 + 10*x^14 + 7*x^15 + 6*x^16 + 2*x^17 + x^18) / ((1-x)^3 * (1+x) * (1+x^2) * (1 - x + x^2 - x^3 + x^4) * (1 + x^4) * (1 + x + x^2 + x^3 + x^4)). - _Colin Barker_, Dec 20 2015
%F G.f.: (1 + 3*x + 8*x^2 + 13*x^3 + 17*x^4 + 19*x^5 + 27*x^6 + 34*x^7 + 37*x^8 + 37*x^9 + 37*x^10 + 37*x^11 + 34*x^12 + 27*x^13 + 19*x^14 + 17*x^15 + 13*x^16 + 8*x^17 + 3*x^18 + x^19) / (1-x) / (1-x^8) / (1-x^10). - _Sean A. Irvine_, Mar 13 2018
%K nonn,easy
%O 0,2
%A _Ralf W. Grosse-Kunstleve_
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