A008105 Coordination sequence T1 for Zeolite Code FAU.

1, 4, 9, 16, 25, 37, 53, 73, 96, 120, 145, 173, 206, 244, 285, 327, 369, 413, 462, 517, 576, 636, 696, 757, 822, 893, 969, 1047, 1125, 1204, 1286, 1373, 1465, 1560, 1656, 1753, 1853, 1957, 2065, 2176, 2289, 2404, 2522, 2644, 2769, 2896, 3025, 3157, 3293

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.: (1+x) * (1+x^2) * (1+x^3+x^4+x^5+x^8) / ((1-x)^3 * (1-x+x^2) * (1+x+x^2+x^3+x^4+x^5+x^6)). - Colin Barker, Dec 18 2015

Crossrefs

Sequence in context: A022779 A265078 A266782 * A008089 A008086 A008087

Adjacent sequences: A008102 A008103 A008104 * A008106 A008107 A008108

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Extensions

Incorrect g.f. deleted by Colin Barker, Dec 18 2015

Status

approved