A008027 Coordination sequence T2 for Zeolite Code AFT.

1, 4, 9, 17, 29, 45, 64, 86, 113, 144, 178, 215, 254, 297, 345, 397, 451, 507, 570, 638, 706, 776, 851, 932, 1015, 1099, 1188, 1281, 1378, 1479, 1583, 1691, 1801, 1914, 2032, 2154, 2279, 2405, 2536, 2675, 2816, 2956, 3099, 3250, 3406, 3561, 3718, 3881, 4049

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 + 73*x^20 + 68*x^15 + 69*x^17 + 74*x^19 + 71*x^21 + 67*x^22 + 60*x^23 + 51*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 + 51*x^6 + 60*x^7 + 67*x^8 + 71*x^9 + 73*x^10 + 74*x^11 + 72*x^12 + 69*x^13 + 68*x^14 + 68*x^16 + 72*x^18 + 17*x^3) / (1-x^4) / (1-x^5) / (1-x^21). - Sean A. Irvine, Mar 13 2018

Crossrefs

Sequence in context: A009865 A008001 A008123 * A008003 A008028 A008002

Adjacent sequences: A008024 A008025 A008026 * A008028 A008029 A008030

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved