A008093 Coordination sequence T1 for Zeolite Code ERI and OFF.

1, 4, 9, 17, 30, 50, 75, 98, 118, 144, 185, 238, 288, 326, 360, 408, 479, 560, 631, 687, 743, 817, 910, 1009, 1101, 1185, 1271, 1367, 1474, 1588, 1705, 1822, 1936, 2050, 2172, 2307, 2451, 2593, 2728, 2863, 3010, 3172, 3337, 3494, 3647, 3810, 3990, 4177

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*x^2 + 4*x^3 + 6*x^4 + 8*x^5 + 8*x^6 + 6*x^7 + 8*x^8 + 8*x^9 + 6*x^10 + 4*x^11 + 2*x^12 + x^13 + x^14) / ((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 18 2015

Crossrefs

Sequence in context: A301024 A038401 A008046 * A027374 A265048 A266334

Adjacent sequences: A008090 A008091 A008092 * A008094 A008095 A008096

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved