A008037 Coordination sequence T2 for Zeolite Code AST.

1, 4, 12, 18, 28, 52, 78, 88, 112, 162, 204, 220, 254, 328, 396, 414, 448, 556, 654, 664, 700, 846, 972, 976, 1010, 1192, 1356, 1350, 1372, 1600, 1806, 1780, 1792, 2070, 2316, 2272, 2270, 2596, 2892, 2826, 2800, 3184, 3534, 3436, 3388, 3834, 4236, 4108, 4034

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 + 3*x + 10*x^2 + 11*x^3 + 23*x^4 + 26*x^5 + 32*x^6 + 26*x^7 + 23*x^8 + 11*x^9 + 10*x^10 + 3*x^11 + x^12) / ((1-x)^3 * (1+x) * (1+x^2)^3 * (1+x+x^2)). - Colin Barker, Dec 20 2015

Crossrefs

Sequence in context: A325234 A075867 A071929 * A301251 A367397 A062859

Adjacent sequences: A008034 A008035 A008036 * A008038 A008039 A008040

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved