A008012 Coordination sequence T1 for Zeolite Code AFG.

1, 4, 10, 20, 34, 53, 76, 103, 135, 170, 208, 250, 299, 355, 412, 469, 530, 600, 678, 756, 834, 916, 1006, 1104, 1202, 1301, 1404, 1515, 1635, 1754, 1872, 1994, 2127, 2271, 2412, 2549, 2690, 2844, 3010, 3172, 3330, 3492, 3666, 3852, 4034, 4213, 4396, 4591

Offset

0,2

References

W. M. Meier, D. H. Olson and Ch. Baerlocher, Atlas of Zeolite Structure Types, 4th Ed., Elsevier, 1996

Links

Sean A. Irvine, 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)^3 * (1 + 3*x^2 + 5*x^4 - x^5 + 5*x^6 - 2*x^7 + 4*x^8 - 4*x^9 + 4*x^10 - 2*x^11 + 5*x^12 - x^13 + 5*x^14 + 3*x^16 + x^18) / ((1 - x)^3 * (1 +x ^2) * (1 + x + x^2 + x^3 + x^4)^2 * (1 - x^2 + x^4 - x^6 + x^8)). - Colin Barker, Dec 18 2015

Crossrefs

Sequence in context: A301027 A301120 A301036 * A301218 A301217 A008129

Adjacent sequences: A008009 A008010 A008011 * A008013 A008014 A008015

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved