A008127 Coordination sequence T1 for Zeolite Code LEV.

1, 4, 9, 17, 30, 49, 71, 92, 114, 143, 183, 229, 271, 308, 349, 404, 470, 535, 595, 655, 724, 802, 882, 963, 1048, 1141, 1236, 1326, 1418, 1522, 1641, 1761, 1869, 1973, 2089, 2226, 2369, 2499, 2621, 2753, 2907, 3068, 3216, 3356, 3506, 3679, 3860, 4027, 4184

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 + x^4) * (1 + x + 2*x^2 + 5*x^3 + 6*x^4 + 7*x^5 + 9*x^6 + 7*x^7 + 6*x^8 + 5*x^9 + 2*x^10 + x^11 + x^12) / ((1 - x)^3 * (1 - x + x^2) * (1 + x + x^2 + x^3 + x^4)^2 * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - Colin Barker, Dec 19 2015

Crossrefs

Sequence in context: A266333 A008225 A057313 * A008082 A008143 A301024

Adjacent sequences: A008124 A008125 A008126 * A008128 A008129 A008130

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved