A008005 Coordination sequence T2 for Zeolite Code AEL.

1, 4, 11, 22, 38, 58, 85, 115, 148, 188, 234, 280, 333, 390, 450, 519, 593, 666, 748, 833, 919, 1016, 1118, 1217, 1327, 1441, 1554, 1679, 1810, 1936, 2073, 2213, 2352, 2507, 2667, 2819, 2984, 3153, 3319, 3501, 3688, 3867, 4061, 4258, 4450, 4661, 4878, 5083

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 + 4*x + 11*x^2 + 22*x^3 + 37*x^4 + 54*x^5 + 73*x^6 + 89*x^7 + 99*x^8 + 108*x^9 + 112*x^10 + 111*x^11 + 111*x^12 + 109*x^13 + 106*x^14 + 109*x^15 + 111*x^16 + 111*x^17 + 112*x^18 + 108*x^19 + 99*x^20 + 89*x^21 + 73*x^22 + 54*x^23 + 37*x^24 + 22*x^25 + 11*x^26 + 4*x^27 + x^28) / (1-x^4) / (1-x^6) / (1-x^18). - Sean A. Irvine, Mar 13 2018

Crossrefs

Sequence in context: A008009 A301168 A038433 * A008015 A301043 A008035

Adjacent sequences: A008002 A008003 A008004 * A008006 A008007 A008008

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved