A008131 Coordination sequence T3 for Zeolite Code LIO.

1, 4, 10, 20, 34, 52, 74, 102, 136, 172, 208, 248, 298, 356, 414, 470, 530, 600, 678, 756, 832, 912, 1004, 1106, 1206, 1300, 1398, 1512, 1638, 1760, 1874, 1992, 2126, 2272, 2414, 2548, 2686, 2842, 3012, 3176, 3328, 3484, 3662, 3856, 4042, 4214, 4390, 4588

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 + 3*x^2 - 2*x^3 + 4*x^4 - 3*x^5 + 6*x^6 - 4*x^7 + 5*x^8 - 4*x^9 + 6*x^10 - 3*x^11 + 4*x^12 - 2*x^13 + 3*x^14 - x^15 + x^16) / ((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 21 2015

Crossrefs

Sequence in context: A301031 A301026 A301040 * A301219 A008132 A008115

Adjacent sequences: A008128 A008129 A008130 * A008132 A008133 A008134

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved