|
|
A008012
|
|
Coordination sequence T1 for Zeolite Code AFG.
|
|
1
|
|
|
1, 4, 10, 20, 34, 53, 76, 103, 135, 170, 208, 250, 299, 355, 412, 469, 530, 600, 678, 756, 834, 916, 1006, 1104, 1202, 1301, 1404, 1515, 1635, 1754, 1872, 1994, 2127, 2271, 2412, 2549, 2690, 2844, 3010, 3172, 3330, 3492, 3666, 3852, 4034, 4213, 4396, 4591
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
REFERENCES
|
W. M. Meier, D. H. Olson and Ch. Baerlocher, Atlas of Zeolite Structure Types, 4th Ed., Elsevier, 1996
|
|
LINKS
|
Sean A. Irvine, 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)^3 * (1 + 3*x^2 + 5*x^4 - x^5 + 5*x^6 - 2*x^7 + 4*x^8 - 4*x^9 + 4*x^10 - 2*x^11 + 5*x^12 - x^13 + 5*x^14 + 3*x^16 + x^18) / ((1 - x)^3 * (1 +x ^2) * (1 + x + x^2 + x^3 + x^4)^2 * (1 - x^2 + x^4 - x^6 + x^8)). - Colin Barker, Dec 18 2015
|
|
CROSSREFS
|
Sequence in context: A301027 A301120 A301036 * A301218 A301217 A008129
Adjacent sequences: A008009 A008010 A008011 * A008013 A008014 A008015
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Ralf W. Grosse-Kunstleve
|
|
STATUS
|
approved
|
|
|
|