A008266 Coordination sequence T1 for Zeolite Code GIS.

1, 4, 9, 18, 32, 48, 67, 92, 120, 150, 185, 224, 266, 312, 361, 414, 472, 532, 595, 664, 736, 810, 889, 972, 1058, 1148, 1241, 1338, 1440, 1544, 1651, 1764, 1880, 1998, 2121, 2248, 2378, 2512, 2649, 2790, 2936, 3084, 3235, 3392, 3552, 3714, 3881, 4052, 4226

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

a(12*m+k) = 264*m^2 + 44*k*m + [ 2, 4, 9, 18, 32, 48, 67, 92, 120, 150, 185, 224 ], 0<=k<12 (N. J. A. Sloane).

G.f.: -(x+1)*(x^6+x^5+2*x^4+3*x^3+2*x^2+x+1) / ((x-1)^3*(x^2+1)*(x^2+x+1)). - Colin Barker, Jun 21 2015

Crossrefs

Sequence in context: A301146 A027366 A027368 * A301200 A008222 A008228

Adjacent sequences: A008263 A008264 A008265 * A008267 A008268 A008269

Keyword

nonn,easy

Author

Ralf W. Grosse-Kunstleve

Status

approved