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A008266 Coordination sequence T1 for Zeolite Code GIS. 1
1, 4, 9, 18, 32, 48, 67, 92, 120, 150, 185, 224, 266, 312, 361, 414, 472, 532, 595, 664, 736, 810, 889, 972, 1058, 1148, 1241, 1338, 1440, 1544, 1651, 1764, 1880, 1998, 2121, 2248, 2378, 2512, 2649, 2790, 2936, 3084, 3235, 3392, 3552, 3714, 3881, 4052, 4226 (list; graph; refs; listen; history; text; internal format)
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(12*m+k) = 264*m^2 + 44*k*m + [ 2, 4, 9, 18, 32, 48, 67, 92, 120, 150, 185, 224 ], 0<=k<12 (N. J. A. Sloane).

G.f.: -(x+1)*(x^6+x^5+2*x^4+3*x^3+2*x^2+x+1) / ((x-1)^3*(x^2+1)*(x^2+x+1)). - Colin Barker, Jun 21 2015

CROSSREFS

Sequence in context: A301146 A027366 A027368 * A301200 A008222 A008228

Adjacent sequences:  A008263 A008264 A008265 * A008267 A008268 A008269

KEYWORD

nonn,easy

AUTHOR

Ralf W. Grosse-Kunstleve

STATUS

approved

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Last modified January 22 01:28 EST 2022. Contains 350481 sequences. (Running on oeis4.)