A008181 Coordination sequence T1 for Zeolite Code MON.

1, 4, 11, 23, 44, 67, 95, 134, 168, 215, 271, 320, 380, 454, 520, 599, 682, 764, 866, 965, 1052, 1175, 1297, 1399, 1529, 1667, 1792, 1943, 2084, 2225, 2405, 2560, 2700, 2903, 3087, 3242, 3446, 3644, 3828, 4055, 4250, 4450, 4712, 4919, 5112, 5399, 5641, 5849

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 + 3*x + 10*x^2 + 20*x^3 + 43*x^4 + 61*x^5 + 100*x^6 + 116*x^7 + 143*x^8 + 153*x^9 + 132*x^10 + 142*x^11 + 73*x^12 + 90*x^13 + 20*x^14 + 35*x^15 - x^16 + 6*x^17 + x^20) / ((1 - x)^3 * (1 + x) * (1 - x + x^2)^2 * (1 + x^2)^2 * (1 + x + x^2)^3). - Colin Barker, Dec 19 2015

Crossrefs

Sequence in context: A244281 A014242 A240074 * A008214 A008104 A227358

Adjacent sequences: A008178 A008179 A008180 * A008182 A008183 A008184

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved