A008045 Coordination sequence T1 for Zeolite Code AWW.

1, 4, 10, 20, 33, 50, 72, 98, 128, 162, 200, 241, 285, 333, 386, 444, 506, 572, 641, 713, 789, 869, 953, 1042, 1136, 1233, 1333, 1437, 1545, 1657, 1773, 1893, 2017, 2145, 2277, 2413, 2553, 2697, 2845, 2996, 3150, 3309, 3473, 3641, 3813, 3989, 4168, 4350

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)^3 * (1 + 3*x^2 + 4*x^4 + 2*x^5 + 4*x^6 + 3*x^7 + 4*x^8 + 2*x^9 + 4*x^10 + 3*x^12 + x^14) / ((1-x)^3 * (1 + x + x^2) * (1 + x^3 + x^6) * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - Colin Barker, Dec 18 2015

Crossrefs

Sequence in context: A100440 A027373 A008142 * A008124 A019457 A360050

Adjacent sequences: A008042 A008043 A008044 * A008046 A008047 A008048

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved