A008036 Coordination sequence T1 for Zeolite Code AST.

1, 4, 9, 19, 34, 48, 66, 96, 127, 151, 183, 232, 281, 316, 357, 427, 499, 540, 588, 684, 778, 823, 879, 1000, 1118, 1168, 1227, 1375, 1522, 1572, 1632, 1812, 1987, 2035, 2097, 2308, 2513, 2560, 2619, 2863, 3103, 3144, 3198, 3480, 3754, 3787, 3837, 4156

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+4*x^2+6*x^3+6*x^4+9*x^5+6*x^6+6*x^7+4*x^8+x^9+x^10) / ((1-x)^3 * (1+x^2)^3 * (1+x+x^2)). - Colin Barker, Dec 18 2015

Crossrefs

Sequence in context: A009856 A009920 A179862 * A009863 A301249 A301118

Adjacent sequences: A008033 A008034 A008035 * A008037 A008038 A008039

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved