A008028 Coordination sequence T3 for Zeolite Code AFT.

1, 4, 9, 17, 29, 45, 65, 88, 113, 141, 175, 216, 258, 297, 340, 394, 455, 514, 570, 631, 702, 780, 858, 932, 1008, 1095, 1192, 1289, 1380, 1472, 1576, 1692, 1809, 1918, 2025, 2145, 2280, 2416, 2543, 2668, 2805, 2956, 3110, 3257, 3399, 3550, 3718, 3892, 4057

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 + 4*x + 9*x^2 + 69*x^20 + 68*x^15 + 72*x^17 + 72*x^19 + 68*x^21 + 67*x^22 + 62*x^23 + 52*x^24 + 40*x^25 + 28*x^26 + 17*x^27 + 9*x^28 + 4*x^29 + x^30 + 28*x^4 + 40*x^5 + 52*x^6 + 62*x^7 + 67*x^8 + 68*x^9 + 69*x^10 + 72*x^11 + 74*x^12 + 72*x^13 + 69*x^14 + 69*x^16 + 74*x^18 + 17*x^3) / (1-x^4) / (1-x^5) / (1-x^21). - Sean A. Irvine, Mar 13 2018

Crossrefs

Sequence in context: A008123 A008027 A008003 * A008002 A057314 A057315

Adjacent sequences: A008025 A008026 A008027 * A008029 A008030 A008031

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved