A008042 Coordination sequence T2 for Zeolite Code ATT.

1, 4, 10, 21, 34, 48, 70, 100, 130, 159, 194, 236, 282, 332, 384, 439, 500, 564, 630, 702, 780, 861, 944, 1030, 1120, 1214, 1314, 1421, 1530, 1636, 1746, 1868, 1994, 2119, 2248, 2382, 2520, 2662, 2808, 2957, 3110, 3268, 3430, 3596, 3764, 3935, 4112, 4294

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 + 4*x^2 + 4*x^3 + 4*x^4 + 4*x^5 + 4*x^6 + x^7 + x^8) * (1 + x + x^2 + 2*x^3 + 2*x^4 + 3*x^5 + 2*x^6 + 2*x^7 + x^8 + x^9 + x^10) / ((1-x)^3 * (1 - x + x^2) * (1 + x^2) * (1 + x + x^2) * (1 + x + x^2 + x^3 + x^4) * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - Colin Barker, Dec 20 2015

Crossrefs

Sequence in context: A300741 A301127 A009919 * A049486 A301130 A008139

Adjacent sequences: A008039 A008040 A008041 * A008043 A008044 A008045

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved