A008083 Coordination sequence T2 for Zeolite Code EAB and OFF.

1, 4, 10, 20, 32, 46, 66, 94, 128, 162, 192, 222, 262, 318, 382, 440, 488, 536, 598, 678, 766, 848, 920, 992, 1076, 1174, 1280, 1386, 1488, 1588, 1692, 1806, 1930, 2060, 2190, 2316, 2442, 2576, 2722, 2874, 3024, 3172, 3324, 3486, 3656, 3826, 3992, 4160, 4340

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^2) * (1 + x + 2*x^2 + 3*x^3 + 2*x^4 + 4*x^5 + 7*x^6 + 4*x^7 + 2*x^8 + 3*x^9 + 2*x^10 + x^11 + x^12) / ((1 - x)^3 * (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 20 2015

Crossrefs

Sequence in context: A008128 A008094 A301286 * A301023 A008050 A008039

Adjacent sequences: A008080 A008081 A008082 * A008084 A008085 A008086

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved