A008138 Coordination sequence T1 for Zeolite Code LTL.

1, 4, 9, 17, 29, 46, 69, 98, 131, 162, 187, 211, 246, 300, 370, 445, 512, 563, 599, 635, 694, 789, 911, 1033, 1131, 1198, 1246, 1301, 1390, 1524, 1687, 1846, 1973, 2063, 2135, 2220, 2343, 2507, 2694, 2876, 3032, 3159, 3272, 3396, 3549, 3732, 3931, 4129

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 - x + 2*x^2 - x^3 + x^4 - x^5 + 2*x^6 - x^7 + x^8) * (1 + x^2 + x^3 + 2*x^4 + 3*x^5 + 2*x^6 + x^7 + x^8 + x^10) / ((1 - x)^3 * (1 + x^2) * (1 + x^4) * (1 + x^3 + x^6) * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - Colin Barker, Dec 19 2015

Crossrefs

Sequence in context: A008224 A036594 A181286 * A301123 A265047 A266338

Adjacent sequences: A008135 A008136 A008137 * A008139 A008140 A008141

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved