A008145 Coordination sequence T2 for Zeolite Code MAZ.

1, 4, 10, 21, 36, 53, 74, 104, 138, 174, 212, 255, 302, 349, 408, 474, 542, 610, 680, 755, 836, 923, 1014, 1110, 1206, 1308, 1410, 1521, 1644, 1767, 1892, 2016, 2142, 2270, 2408, 2559, 2716, 2871, 3026, 3186, 3346, 3512, 3688, 3871, 4056, 4237, 4420, 4612

Offset

0,2

References

W. M. Meier, D. H. Olson and Ch. Baerlocher, Atlas of Zeolite Structure Types, 4th Ed., Elsevier, 1996.

Links

R. W. Grosse-Kunstleve, Table of n, a(n) for n = 0..1000

R. W. Grosse-Kunstleve, Coordination Sequences and Encyclopedia of Integer Sequences

R. W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane, Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites, Acta Cryst., A52 (1996), pp. 879-889.

Sean A. Irvine, Generating Functions for Coordination Sequences of Zeolites, after Grosse-Kunstleve, Brunner, and Sloane

International Zeolite Association, Database of Zeolite Structures

Formula

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^

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

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

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

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

+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

+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).

Crossrefs

Sequence in context: A024985 A301128 A363607 * A038407 A301012 A009894

Adjacent sequences: A008142 A008143 A008144 * A008146 A008147 A008148

Keyword

nonn,easy

Author

Ralf W. Grosse-Kunstleve

Status

approved