A019454 Coordination sequence T4 for Zeolite Code CGF.

1, 4, 9, 18, 34, 55, 75, 98, 133, 177, 216, 248, 291, 352, 420, 478, 529, 595, 675, 759, 841, 921, 1007, 1099, 1201, 1310, 1416, 1519, 1629, 1756, 1884, 2004, 2132, 2273, 2418, 2557, 2697, 2852, 3017, 3180, 3339, 3502, 3675, 3856, 4044, 4232, 4414, 4600

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 + 18*x^4 + 26*x^5 + 34*x^6 + 44*x^7 + 50*x^8 + 56*x^9 + 49*x^10 + 47*x^11 + 34*x^12 + 30*x^13 + 17*x^14 + 9*x^15 + 3*x^16 + 2*x^17 - x^18 + 2*x^19 - 2*x^20 + 2*x^21) / ((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 21 2015

Crossrefs

Sequence in context: A292765 A357282 A301157 * A019453 A301104 A038089

Adjacent sequences: A019451 A019452 A019453 * A019455 A019456 A019457

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved