A008265 Coordination sequence T1 for Zeolite Code ATO.

1, 4, 11, 22, 37, 59, 85, 114, 147, 184, 230, 280, 331, 386, 445, 515, 589, 662, 739, 820, 914, 1012, 1107, 1206, 1309, 1427, 1549, 1666, 1787, 1912, 2054, 2200, 2339, 2482, 2629, 2795, 2965, 3126, 3291, 3460, 3650, 3844, 4027, 4214, 4405, 4619, 4837, 5042

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(5m)=57m^2+2, a(5m+1)=57m^2+24m+4, a(5m+2)=57m^2+46m+11, a(5m+3)=57m^2+68m+22, a(5m+4)=57m^2+90m+37 (N. J. A. Sloane).

G.f.: (1+x)*(1+2*x+5*x^2+6*x^3+9*x^4+11*x^5+9*x^6+6*x^7+5*x^8+2*x^9+x^10) / ((1-x)^3*(1+x+x^2+x^3+x^4)^2). - Colin Barker, Dec 19 2015

Crossrefs

Sequence in context: A008154 A008162 A084849 * A160424 A376718 A008229

Adjacent sequences: A008262 A008263 A008264 * A008266 A008267 A008268

Keyword

nonn,easy

Author

Ralf W. Grosse-Kunstleve

Status

approved