A008129 Coordination sequence T1 for Zeolite Code LIO.

1, 4, 10, 20, 34, 53, 76, 103, 135, 170, 209, 252, 300, 354, 410, 470, 534, 602, 676, 752, 833, 918, 1007, 1103, 1200, 1301, 1406, 1516, 1634, 1752, 1874, 2000, 2130, 2268, 2406, 2549, 2696, 2847, 3007, 3166, 3329, 3496, 3668, 3850, 4030, 4214, 4402, 4594

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

a(15*m+k) = 468*m^2 + b(k)*m + c(k), where b(k), c(k) are constants depending on k, 0<=k<15 (N. J. A. Sloane).

G.f.: (1 + x)^3 * (1 - x + x^2) * (1 + 2*x^2 + 2*x^4 + x^6 + x^7 + x^8 + 2*x^10 + 2*x^12 + x^14) / ((1 - x)^3 * (1 + x + x^2 + x^3 + x^4)^2 * (1 - x + x^3 - x^4 + x^5 - x^7 + x^8)). - Colin Barker, Dec 19 2015

Crossrefs

Sequence in context: A008012 A301218 A301217 * A047964 A047953 A301035

Adjacent sequences: A008126 A008127 A008128 * A008130 A008131 A008132

Keyword

nonn,easy

Author

Ralf W. Grosse-Kunstleve

Status

approved