A008245 Coordination sequence T1 for Zeolite Code VFI.

1, 4, 11, 20, 31, 44, 61, 82, 108, 139, 174, 209, 246, 287, 333, 382, 436, 493, 552, 611, 674, 743, 817, 895, 977, 1060, 1145, 1232, 1324, 1421, 1523, 1627, 1733, 1840, 1951, 2066, 2186, 2312, 2442, 2572, 2704, 2839, 2979, 3122, 3270, 3422, 3576, 3730, 3888

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 + x^2)^2 * (1 + x^3 + x^6) * (1 + 2*x^2 - 3*x^3 + 4*x^4 - 2*x^5 + 3*x^6 - 2*x^7 + 4*x^8 - 3*x^9 + 2*x^10 + x^12) / ((1 - x)^3 * (1 + x) * (1 + x^2) * (1 + x^4) * (1 - x + x^2 - x^3 + x^4 - x^5 + x^6) * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - Colin Barker, Dec 19 2015

Crossrefs

Sequence in context: A301113 A212460 A159801 * A002441 A301116 A008053

Adjacent sequences: A008242 A008243 A008244 * A008246 A008247 A008248

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved