A008132 Coordination sequence T1 for Zeolite Code LOS.

1, 4, 10, 20, 34, 52, 74, 102, 136, 172, 210, 252, 300, 354, 410, 468, 530, 600, 678, 756, 834, 916, 1006, 1104, 1202, 1300, 1402, 1514, 1636, 1756, 1874, 1996, 2128, 2270, 2410, 2548, 2690, 2844, 3010, 3172, 3330, 3492, 3666, 3852, 4034, 4212, 4394, 4590

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

a(10*m+k) = 208*m^2 + b(k)*m + c(k), where b(k), c(k) are constants depending on k, 0<=k<10 (N. J. A. Sloane).

G.f.: (1 + x) * (1 + x + 3*x^2 + 3*x^3 + 5*x^4 + 4*x^5 + 6*x^6 + 6*x^7 + 6*x^8 + 4*x^9 + 5*x^10 + 3*x^11 + 3*x^12 + x^13 + x^14) / ((1 - x)^3 * (1 - x + x^2 - x^3 + x^4) * (1 + x + x^2 + x^3 + x^4)^2). - Colin Barker, Dec 19 2015

Crossrefs

Sequence in context: A301040 A008131 A301219 * A008115 A301112 A008140

Adjacent sequences: A008129 A008130 A008131 * A008133 A008134 A008135

Keyword

nonn,easy

Author

Ralf W. Grosse-Kunstleve

Status

approved