A008039 Coordination sequence T2 for Zeolite Code ATS.

1, 4, 10, 20, 32, 49, 73, 97, 124, 157, 193, 236, 281, 325, 376, 434, 496, 559, 623, 692, 769, 853, 934, 1015, 1105, 1201, 1304, 1406, 1504, 1612, 1730, 1852, 1972, 2090, 2216, 2353, 2497, 2635, 2770, 2917, 3073, 3236, 3395, 3547, 3712, 3890, 4072, 4249

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)^3 * (1+x+4*x^2+3*x^3+6*x^4+6*x^5+6*x^6+3*x^7+4*x^8+x^9+x^10) / ((1-x)^3 * (1+x+x^2) * (1+x+x^2+x^3+x^4)^2). - Colin Barker, Dec 20 2015

Crossrefs

Sequence in context: A008083 A301023 A008050 * A024986 A028358 A140229

Adjacent sequences: A008036 A008037 A008038 * A008040 A008041 A008042

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved