A008041 Coordination sequence T1 for Zeolite Code ATT.

1, 4, 9, 18, 33, 52, 73, 96, 123, 158, 199, 239, 280, 329, 383, 438, 498, 564, 633, 704, 778, 857, 941, 1029, 1122, 1219, 1316, 1415, 1522, 1636, 1753, 1871, 1990, 2115, 2248, 2383, 2519, 2661, 2808, 2957, 3110, 3268, 3429, 3593, 3762, 3937, 4115, 4293

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

G.f.: (1 + x) * (1 + 2*x + 5*x^2 + 10*x^3 + 17*x^4 + 25*x^5 + 34*x^6 + 40*x^7 + 46*x^8 + 48*x^9 + 46*x^10 + 40*x^11 + 34*x^12 + 25*x^13 + 17*x^14 + 10*x^15 + 5*x^16 + 2*x^17 + x^18) / ((1 - x)^3 * (1 - x + x^2) * (1 + x^2) * (1 + x + x^2) * (1 + x + x^2 + x^3 + x^4) * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - Colin Barker, Dec 18 2015

Crossrefs

Sequence in context: A019456 A054062 A301246 * A301102 A301101 A266340

Adjacent sequences: A008038 A008039 A008040 * A008042 A008043 A008044

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved