A009917 Coordination sequence T1 for Zeolite Code WEI.

1, 4, 9, 18, 32, 51, 74, 98, 126, 163, 199, 237, 288, 335, 383, 449, 506, 564, 646, 713, 780, 878, 955, 1032, 1146, 1232, 1319, 1450, 1544, 1641, 1790, 1892, 1998, 2165, 2275, 2391, 2576, 2693, 2819, 3023, 3146, 3282, 3506, 3635, 3780, 4024, 4159, 4314

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 + 4*x + 10*x^2 + 20*x^3 + 33*x^4 + 49*x^5 + 62*x^6 + 67*x^7 + 62*x^8 + 51*x^9 + 35*x^10 + 20*x^11 + 8*x^12 - x^14 + 2*x^16 + 2*x^17) / ((1 - x)^3 * (1 + x) * (1 - x + x^2) * (1 + x^2) * (1 + x + x^2)^3). - Colin Barker, Dec 19 2015

Crossrefs

Sequence in context: A047960 A301090 A190798 * A301095 A301259 A301258

Adjacent sequences: A009914 A009915 A009916 * A009918 A009919 A009920

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved