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A008145 Coordination sequence T2 for Zeolite Code MAZ. 1

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

%S 1,4,10,21,36,53,74,104,138,174,212,255,302,349,408,474,542,610,680,

%T 755,836,923,1014,1110,1206,1308,1410,1521,1644,1767,1892,2016,2142,

%U 2270,2408,2559,2716,2871,3026,3186,3346,3512,3688,3871,4056,4237,4420,4612

%N Coordination sequence T2 for Zeolite Code MAZ.

%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="/A008145/b008145.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.: (x^45+3*x^44+9*x^43+20*x^42+39*x^41+68*x^40+112*x^39+176*x^38+258*x^37+371*x^

%F 36+497*x^35+666*x^34+835*x^33+1053*x^32+1253*x^31+1500*x^30+1708*x^29+1946*x^28

%F +2126*x^27+2317*x^26+2442*x^25+2549*x^24+2593*x^23+2593*x^22+2549*x^21+2442*x^

%F 20+2317*x^19+2126*x^18+1946*x^17+1708*x^16+1500*x^15+1253*x^14+1053*x^13+835*x^

%F 12+666*x^11+497*x^10+371*x^9+258*x^8+176*x^7+112*x^6+68*x^5+39*x^4+20*x^3+9*x^2

%F +3*x+1)/(x^7-1)/(x^9-x^8+x^7-x^6+x^5-x^4+x^3-x^2+x-1)/(x-1)/(x^10+x^9+x^8+x^7+x^6

%F +x^5+x^4+x^3+x^2+x+1)/(x^18+2*x^16+3*x^14+4*x^12+4*x^10+4*x^8+4*x^6+3*x^4+2*x^2+1).

%K nonn,easy

%O 0,2

%A _Ralf W. Grosse-Kunstleve_

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Last modified April 23 22:36 EDT 2024. Contains 371917 sequences. (Running on oeis4.)