A008038 Coordination sequence T1 for Zeolite Code ATS.

1, 4, 10, 19, 30, 46, 67, 93, 124, 154, 189, 232, 277, 325, 374, 428, 490, 557, 625, 690, 763, 844, 930, 1021, 1105, 1194, 1294, 1399, 1510, 1616, 1724, 1840, 1964, 2095, 2220, 2350, 2485, 2625, 2776, 2920, 3069, 3226, 3385, 3553, 3716, 3884, 4060, 4241

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)^2 * (1 + x + 4*x^2 + 3*x^3 + 8*x^4 + 7*x^5 + 10*x^6 + 10*x^7 + 9*x^8 + 8*x^9 + 7*x^10 + 4*x^11 + x^12 + x^13 - 2*x^15) / ((1 - x)^3 * (1 - x + x^2) * (1 + x + x^2) * (1 + x + x^2 + x^3 + x^4)^2). - Colin Barker, Dec 18 2015

Crossrefs

Sequence in context: A241239 A057312 A219965 * A301248 A160425 A152946

Adjacent sequences: A008035 A008036 A008037 * A008039 A008040 A008041

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved