A019451 Coordination sequence T1 for Zeolite Code CGF.

1, 4, 11, 22, 34, 50, 76, 111, 142, 165, 199, 254, 315, 362, 403, 461, 535, 612, 684, 755, 831, 915, 1012, 1113, 1208, 1301, 1405, 1524, 1643, 1756, 1874, 2006, 2144, 2275, 2406, 2552, 2710, 2865, 3014, 3168, 3334, 3508, 3687, 3866, 4039, 4215, 4408

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 + x + 5*x^2 + 4*x^3 + 9*x^4 + 12*x^5 + 16*x^6 + 17*x^7 + 16*x^8 + 17*x^9 + 16*x^10 + 12*x^11 + 9*x^12 + 4*x^13 + 5*x^14 + x^15 + x^16) /((1 - x)^3 * (1 - x + x^2) * (1 + 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 19 2015

Crossrefs

Sequence in context: A301083 A024990 A055635 * A016431 A301187 A301179

Adjacent sequences: A019448 A019449 A019450 * A019452 A019453 A019454

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved