A009865 Coordination sequence T2 for Zeolite Code AFX.

1, 4, 9, 17, 29, 45, 64, 85, 110, 141, 178, 218, 256, 295, 343, 400, 457, 509, 565, 633, 707, 778, 847, 924, 1013, 1106, 1194, 1279, 1373, 1480, 1590, 1694, 1796, 1908, 2032, 2158, 2279, 2400, 2533, 2678, 2821, 2956, 3094, 3247, 3409, 3566, 3718, 3876

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 + x^2) * (1 + 2*x^2 + 2*x^3 + 2*x^4 + 3*x^5 + 3*x^6 + 2*x^7 + 4*x^8 + 3*x^9 + 4*x^10 + 2*x^11 + 3*x^12 + 3*x^13 + 2*x^14 + 2*x^15 + 2*x^16 + x^18) / ((1 - x)^3 * (1 + x^2) * (1 + x + x^2 + x^3 + x^4) * (1 - x + x^2 - x^3 + x^4 - x^5 + x^6) * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - Colin Barker, Dec 20 2015

Crossrefs

Sequence in context: A057316 A008066 A008026 * A008001 A008123 A008027

Adjacent sequences: A009862 A009863 A009864 * A009866 A009867 A009868

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved