A008029 Coordination sequence T1 for Zeolite Code AFY.

1, 4, 8, 14, 25, 39, 53, 71, 96, 124, 152, 179, 208, 247, 293, 336, 378, 424, 474, 530, 591, 652, 713, 776, 843, 918, 997, 1073, 1151, 1235, 1321, 1410, 1504, 1601, 1700, 1799, 1899, 2007, 2122, 2236, 2350, 2467, 2586, 2711, 2843, 2976, 3108, 3240, 3376

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

Crossrefs

Sequence in context: A100314 A105143 A020185 * A129080 A138643 A183977

Adjacent sequences: A008026 A008027 A008028 * A008030 A008031 A008032

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved