A009866 Coordination sequence T1 for Zeolite Code AHT.

1, 4, 11, 21, 36, 56, 81, 109, 142, 179, 221, 266, 316, 371, 431, 494, 562, 634, 711, 791, 876, 966, 1061, 1159, 1262, 1369, 1481, 1596, 1716, 1841, 1971, 2104, 2242, 2384, 2531, 2681, 2836, 2996, 3161, 3329, 3502, 3679, 3861, 4046, 4236, 4431, 4631

Offset

0,2

References

W. M. Meier, D. H. Olson and Ch. Baerlocher, Atlas of Zeolite Structure Types, 4th Ed., Elsevier, 1996.

Links

Colin Barker, 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

Index entries for linear recurrences with constant coefficients, signature (2,-1,0,0,0,0,0,1,-2,1).

Formula

The g.f. has denominator (1-x)^3(1+x)(1+x^2)(1+x^4).

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

Prog

(PARI) Vec((1+x+x^2+x^3+x^4)*(1+x+2*x^2-x^3+2*x^4+x^5+x^6) / ((1-x)^3*(1+x)*(1+x^2)*(1+x^4)) + O(x^100)) \\ Colin Barker, Dec 19 2015

Crossrefs

Sequence in context: A016434 A008119 A301073 * A008017 A008205 A008095

Adjacent sequences: A009863 A009864 A009865 * A009867 A009868 A009869

Keyword

nonn,easy

Author

Ralf W. Grosse-Kunstleve

Status

approved