A008066 Coordination sequence T1 for Zeolite Code CHA.

1, 4, 9, 17, 29, 45, 64, 85, 110, 140, 173, 208, 246, 289, 336, 385, 437, 493, 553, 616, 682, 752, 825, 901, 981, 1065, 1152, 1241, 1334, 1432, 1533, 1636, 1742, 1853, 1968, 2085, 2205, 2329, 2457, 2588, 2722, 2860, 3001, 3145, 3293, 3445, 3600, 3757, 3918

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(20*m+k) = 680*m^2 + 68*k*m + one of 20 numbers depending on k, 0<=k<20 (N. J. A. Sloane).

G.f.: (1+x) * (1+x+2*x^2+3*x^3+3*x^4+3*x^5+2*x^6+x^7+x^8) / ((1-x)^3 * (1+x^2) * (1+x+x^2+x^3+x^4)). - Colin Barker, Dec 18 2015

Crossrefs

Sequence in context: A219841 A009878 A057316 * A008026 A009865 A008001

Adjacent sequences: A008063 A008064 A008065 * A008067 A008068 A008069

Keyword

nonn,easy

Author

Ralf W. Grosse-Kunstleve

Status

approved