A008239 Coordination sequence T2 for Zeolite Code THO.

1, 4, 9, 19, 33, 50, 74, 100, 129, 165, 201, 242, 290, 338, 393, 453, 513, 580, 650, 722, 801, 883, 969, 1060, 1154, 1252, 1353, 1459, 1569, 1682, 1802, 1924, 2049, 2181, 2313, 2450, 2594, 2738, 2889, 3045, 3201, 3364, 3530, 3698, 3873, 4051, 4233, 4420

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(24*m+k) = 1152*m^2 + 96*k*m + one of 24 numbers depending on k, 0<=k<24. - N. J. A. Sloane

G.f.: (1+x)*(1+x^2)^2*(1+x-x^2+x^3+x^4) / ((1-x)^3*(1+x+x^2)*(1+x^4)). - Colin Barker, Dec 20 2015

Crossrefs

Sequence in context: A086733 A254100 A365801 * A038403 A009856 A009920

Adjacent sequences: A008236 A008237 A008238 * A008240 A008241 A008242

Keyword

nonn,easy

Author

Ralf W. Grosse-Kunstleve

Status

approved