A008128 Coordination sequence T2 for Zeolite Code LEV.

1, 4, 10, 20, 32, 46, 64, 90, 124, 156, 184, 214, 256, 312, 368, 418, 464, 518, 588, 662, 734, 804, 880, 966, 1050, 1134, 1224, 1326, 1438, 1540, 1634, 1734, 1854, 1992, 2118, 2230, 2344, 2478, 2634, 2780, 2912, 3044, 3196, 3372, 3536, 3684, 3832, 4002, 4198

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 + x + x^2) * (1 + x + 3*x^2 + 5*x^3 + 5*x^4 + 9*x^5 + 11*x^6 + 12*x^7 + 12*x^8 + 12*x^9 + 11*x^10 + 9*x^11 + 5*x^12 + 5*x^13 + 3*x^14 + x^15 + x^16) / ((1 - x)^3 * (1 - x + x^2) * (1 + x + x^2 + x^3 + x^4)^2 * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - Colin Barker, Dec 20 2015

Crossrefs

Sequence in context: A301180 A379278 A357837 * A008094 A301286 A008083

Adjacent sequences: A008125 A008126 A008127 * A008129 A008130 A008131

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved