A008126 Coordination sequence T3 for Zeolite Code LAU.

1, 4, 10, 19, 33, 53, 74, 96, 127, 166, 201, 236, 283, 340, 395, 443, 500, 574, 650, 715, 783, 871, 965, 1051, 1134, 1230, 1340, 1447, 1549, 1658, 1779, 1902, 2025, 2152, 2283, 2420, 2562, 2707, 2853, 3003, 3160, 3324, 3488, 3650, 3822, 4003, 4183, 4361

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) * (1 + 3*x + 8*x^2 + 15*x^3 + 28*x^4 + 43*x^5 + 60*x^6 + 77*x^7 + 97*x^8 + 110*x^9 + 119*x^10 + 122*x^11 + 119*x^12 + 110*x^13 + 97*x^14 + 77*x^15 + 60*x^16 + 43*x^17 + 28*x^18 + 15*x^19 + 8*x^20 + 3*x^21 + x^22) / ((1 - x)^3 * (1 + x^2) * (1 + x + x^2) * (1 + x + x^2 + x^3 + x^4) * (1 + x^3 + x^6) * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - Colin Barker, Dec 21 2015

Crossrefs

Sequence in context: A009857 A261228 A173154 * A301129 A140260 A019452

Adjacent sequences: A008123 A008124 A008125 * A008127 A008128 A008129

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved