A009890 Coordination sequence T1 for Zeolite Code RTE.

1, 4, 10, 19, 33, 56, 81, 105, 136, 175, 219, 262, 307, 363, 425, 485, 548, 622, 699, 776, 859, 948, 1042, 1137, 1236, 1344, 1456, 1566, 1681, 1808, 1937, 2065, 2198, 2339, 2486, 2633, 2782, 2940, 3105, 3268, 3435, 3612, 3791, 3971, 4157, 4351, 4548

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 + 3*x + 8*x^2 + 14*x^3 + 25*x^4 + 38*x^5 + 49*x^6 + 57*x^7 + 59*x^8 + 57*x^9 + 51*x^10 + 39*x^11 + 26*x^12 + 15*x^13 + 7*x^14 + x^15 - x^17 + x^18 + x^19) / ((1 - x)^3 * (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 19 2015

Crossrefs

Sequence in context: A301129 A140260 A019452 * A301182 A301194 A015616

Adjacent sequences: A009887 A009888 A009889 * A009891 A009892 A009893

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved