A008247 Coordination sequence T1 for Zeolite Code YUG.

1, 4, 11, 22, 39, 61, 88, 120, 155, 192, 241, 295, 344, 404, 473, 539, 613, 696, 776, 863, 961, 1057, 1159, 1270, 1378, 1495, 1624, 1746, 1875, 2017, 2154, 2301, 2457, 2605, 2765, 2939, 3103, 3274, 3463, 3641, 3826, 4031, 4224, 4423, 4639, 4847, 5064, 5295

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 + 5*x + 17*x^2 + 41*x^3 + 83*x^4 + 141*x^5 + 213*x^6 + 285*x^7 + 346*x^8 + 376*x^9 + 377*x^10 + 343*x^11 + 288*x^12 + 215*x^13 + 144*x^14 + 80*x^15 + 38*x^16 + 13*x^17 + 5*x^18 + 2*x^19 + 2*x^20 + x^21) / ((1 -x)^3 * (1 + x^2) * (1 + x + x^2)^2 * (1 + x + x^2 + x^3 + x^4) * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - Colin Barker, Dec 19 2015

G.f.: (1 + 4*x + 34*x^5 + 30*x^6 + 14*x^7 + 11*x^2 + 20*x^3 + 30*x^4 - 11*x^8 - 42*x^9 - 60*x^10 - 64*x^11 - 56*x^12 - 39*x^13 - 16*x^14 + 9*x^15 + 29*x^16 + 39*x^17 + 34*x^18 + 22*x^19 + 8*x^20 + 2*x^21 - x^22 + x^23 + x^24) / (1 - x^3)^2 / (1 - x^4) / (1 - x^5) / (1 - x^7). - Sean A. Irvine, Mar 15 2018

Crossrefs

Sequence in context: A038434 A038441 A301082 * A016435 A213759 A047951

Adjacent sequences: A008244 A008245 A008246 * A008248 A008249 A008250

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved