A008144 - OEIS

%I #17 Apr 10 2018 08:26:35

%S 1,4,10,20,35,54,78,104,134,171,210,255,303,355,413,472,535,605,680,

%T 758,838,923,1016,1107,1202,1311,1418,1525,1640,1759,1883,2009,2143,

%U 2284,2420,2563,2714,2860,3017,3185,3348,3516,3691,3869,4048,4232,4432,4627

%N Coordination sequence T1 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="/A008144/b008144.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.: -(2*x^47-2*x^46+5*x^45-x^44+15*x^43+13*x^42+46*x^41+58*x^40+123*x^39+162*x^38+

%F 269*x^37+352*x^36+511*x^35+644*x^34+852*x^33+1031*x^32+1275*x^31+1480*x^30+1730

%F *x^29+1928*x^28+2150*x^27+2306*x^26+2458*x^25+2542*x^24+2600*x^23+2593*x^22+

%F 2547*x^21+2449*x^20+2309*x^19+2140*x^18+1932*x^17+1721*x^16+1484*x^15+1268*x^14

%F +1038*x^13+846*x^12+653*x^11+505*x^10+362*x^9+263*x^8+172*x^7+115*x^6+67*x^5+39

%F *x^4+19*x^3+9*x^2+3*x+1)/(x^23-x^22+3*x^21-3*x^20+5*x^19-5*x^18+7*x^17-7*x^16+9

%F *x^15-9*x^14+10*x^13-10*x^12+10*x^11-10*x^10+9*x^9-9*x^8+7*x^7-7*x^6+5*x^5-5*x^

%F 4+3*x^3-3*x^2+x-1)/(x^11-1)/(x^5-x^4+x-1)/(x^6+x^5+x^4+x^3+x^2+x+1).

%K nonn,easy

%O 0,2

%A _Ralf W. Grosse-Kunstleve_