A008026 Coordination sequence T1 for Zeolite Code AFT.

1, 4, 9, 17, 29, 45, 64, 85, 110, 140, 173, 208, 247, 294, 347, 399, 449, 504, 570, 641, 708, 774, 848, 932, 1018, 1101, 1186, 1278, 1377, 1479, 1581, 1684, 1791, 1907, 2032, 2158, 2279, 2400, 2533, 2678, 2821, 2956, 3094, 3247, 3409, 3566, 3718, 3876, 4046

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 + 68*x^20 + 82*x^15 + 73*x^17 + 68*x^19 + 67*x^21 + 64*x^22 + 59*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 + 59*x^7 + 64*x^8 + 67*x^9 + 68*x^10 + 68*x^11 + 69*x^12 + 73*x^13 + 79*x^14 + 79*x^16 + 69*x^18 + 17*x^3) / (1-x^4) / (1-x^5) / (1-x^21). - Sean A. Irvine, Mar 13 2018

Crossrefs

Sequence in context: A009878 A057316 A008066 * A009865 A008001 A008123

Adjacent sequences: A008023 A008024 A008025 * A008027 A008028 A008029

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved