A008030 Coordination sequence T2 for Zeolite Code AFY.

1, 4, 9, 16, 23, 34, 57, 82, 98, 115, 141, 178, 224, 259, 282, 322, 377, 430, 486, 535, 578, 643, 717, 781, 851, 919, 984, 1072, 1160, 1231, 1320, 1417, 1502, 1600, 1698, 1789, 1907, 2023, 2115, 2227, 2348, 2461, 2598, 2728, 2831, 2962, 3108, 3241, 3392

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

Crossrefs

Sequence in context: A027874 A009850 A009853 * A168086 A176238 A139588

Adjacent sequences: A008027 A008028 A008029 * A008031 A008032 A008033

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved