A008160 Coordination sequence T1 for Zeolite Code MER.

1, 4, 9, 18, 32, 49, 69, 93, 121, 153, 189, 228, 270, 317, 368, 422, 480, 541, 606, 676, 749, 825, 905, 989, 1077, 1169, 1264, 1362, 1465, 1572, 1682, 1796, 1913, 2034, 2160, 2289, 2421, 2557, 2697, 2841, 2989, 3140, 3294, 3453, 3616, 3782, 3952, 4125, 4302

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

a(15*m+k) = 420*m^2 + 56*k*m + one of 15 numbers depending on k, 0<=k<15 (N. J. A. Sloane).

G.f.: (1+x)^3 * (1+2*x^2+x^3+2*x^4+x^6) / ((1-x)^3 * (1+x+x^2) * (1+x+x^2+x^3+x^4)). - Colin Barker, Dec 19 2015

Crossrefs

Sequence in context: A301200 A008222 A008228 * A301201 A301199 A008221

Adjacent sequences: A008157 A008158 A008159 * A008161 A008162 A008163

Keyword

nonn,easy

Author

Ralf W. Grosse-Kunstleve

Status

approved