A008110 Coordination sequence T1 for Zeolite Code GME and AFX.

1, 4, 9, 17, 29, 45, 65, 89, 116, 144, 175, 213, 256, 300, 346, 397, 452, 509, 570, 636, 705, 777, 853, 932, 1013, 1098, 1189, 1284, 1381, 1480, 1582, 1689, 1801, 1916, 2033, 2154, 2280, 2408, 2538, 2673, 2813, 2956, 3102, 3252, 3404, 3558, 3718, 3884, 4052

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 + 2*x^2 + 4*x^3 + 4*x^4 + 5*x^5 + 7*x^6 + 5*x^7 + 4*x^8 + 4*x^9 + 2*x^10 + x^11 + x^12) / ((1 - x)^3 * (1 + 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: A008002 A057314 A057315 * A008224 A036594 A181286

Adjacent sequences: A008107 A008108 A008109 * A008111 A008112 A008113

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved