A008240 Coordination sequence T3 for Zeolite Code THO.

1, 4, 8, 18, 34, 50, 68, 100, 130, 160, 204, 246, 286, 338, 392, 448, 514, 580, 648, 726, 802, 878, 968, 1060, 1150, 1252, 1356, 1458, 1570, 1682, 1796, 1924, 2050, 2176, 2316, 2454, 2590, 2738, 2888, 3040, 3202, 3364, 3528, 3702, 3874, 4046, 4232, 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+2*x+2*x^2+7*x^3+6*x^4+6*x^5+2*x^6+14*x^7-x^8+10*x^9-2*x^10+5*x^11-8*x^12+4*x^13) / ((1-x)^3*(1+x^2)*(1+x+x^2)*(1+x^4)). - Colin Barker, Dec 20 2015

Crossrefs

Sequence in context: A008373 A008374 A201686 * A008375 A056309 A007784

Adjacent sequences: A008237 A008238 A008239 * A008241 A008242 A008243

Keyword

nonn,easy

Author

Ralf W. Grosse-Kunstleve

Status

approved