A008123 Coordination sequence T1 for Zeolite Code KFI.

1, 4, 9, 17, 29, 45, 64, 86, 112, 141, 173, 209, 249, 292, 338, 388, 441, 497, 557, 621, 688, 758, 832, 909, 989, 1073, 1161, 1252, 1346, 1444, 1545, 1649, 1757, 1869, 1984, 2102, 2224, 2349, 2477, 2609, 2745, 2884, 3026, 3172, 3321, 3473, 3629, 3789, 3952

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(7*m+k) = 84*m^2 + 24*k*m + one of 7 numbers depending on k, 0<=k<7 (N. J. A. Sloane).

Maple

(1-x^2)*(1-x^6)^2/((1-x)^4*(1-x^3)*(1-x^7));

Crossrefs

Sequence in context: A008026 A009865 A008001 * A008027 A008003 A008028

Adjacent sequences: A008120 A008121 A008122 * A008124 A008125 A008126

Keyword

nonn,easy

Author

Ralf W. Grosse-Kunstleve

Status

approved