A008040 Coordination sequence T3 for Zeolite Code ATS.

1, 4, 10, 19, 32, 51, 72, 96, 124, 155, 196, 238, 278, 324, 374, 436, 500, 558, 620, 688, 772, 857, 934, 1014, 1098, 1203, 1310, 1405, 1504, 1606, 1730, 1858, 1972, 2089, 2210, 2355, 2502, 2634, 2770, 2909, 3076, 3244, 3392, 3546, 3704, 3892, 4082, 4248

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 + 2*x + 5*x^2 + 7*x^3 + 13*x^4 + 16*x^5 + 18*x^6 + 20*x^7 + 18*x^8 + 16*x^9 + 13*x^10 + 7*x^11 + 5*x^12 + 2*x^13 + x^14) / ((1 - x)^3 * (1 - x + x^2) * (1 + x + x^2) * (1 + x + x^2 + x^3 + x^4)^2). - Colin Barker, Dec 21 2015

Crossrefs

Sequence in context: A009868 A132922 A307276 * A009871 A008049 A009872

Adjacent sequences: A008037 A008038 A008039 * A008041 A008042 A008043

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved