A009892 Coordination sequence T3 for Zeolite Code RTE.

1, 4, 11, 21, 35, 57, 80, 106, 139, 176, 218, 261, 311, 365, 422, 487, 551, 622, 698, 777, 862, 948, 1042, 1138, 1238, 1345, 1454, 1568, 1684, 1808, 1937, 2065, 2200, 2341, 2485, 2633, 2785, 2942, 3103, 3268, 3439, 3612, 3790, 3973, 4159, 4352, 4546

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 + 9*x^2 + 15*x^3 + 27*x^4 + 38*x^5 + 48*x^6 + 56*x^7 + 57*x^8 + 56*x^9 + 48*x^10 + 38*x^11 + 27*x^12 + 15*x^13 + 9*x^14 + 3*x^15 + x^16) / ((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 21 2015

Crossrefs

Sequence in context: A008014 A008007 A307273 * A301238 A016434 A008119

Adjacent sequences: A009889 A009890 A009891 * A009893 A009894 A009895

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved