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A008181 Coordination sequence T1 for Zeolite Code MON. 1
1, 4, 11, 23, 44, 67, 95, 134, 168, 215, 271, 320, 380, 454, 520, 599, 682, 764, 866, 965, 1052, 1175, 1297, 1399, 1529, 1667, 1792, 1943, 2084, 2225, 2405, 2560, 2700, 2903, 3087, 3242, 3446, 3644, 3828, 4055, 4250, 4450, 4712, 4919, 5112, 5399, 5641, 5849 (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

G.f.: (1 + 3*x + 10*x^2 + 20*x^3 + 43*x^4 + 61*x^5 + 100*x^6 + 116*x^7 + 143*x^8 + 153*x^9 + 132*x^10 + 142*x^11 + 73*x^12 + 90*x^13 + 20*x^14 + 35*x^15 - x^16 + 6*x^17 + x^20) / ((1 - x)^3 * (1 + x) * (1 - x + x^2)^2 * (1 + x^2)^2 * (1 + x + x^2)^3). - Colin Barker, Dec 19 2015

CROSSREFS

Sequence in context: A244281 A014242 A240074 * A008214 A008104 A227358

Adjacent sequences:  A008178 A008179 A008180 * A008182 A008183 A008184

KEYWORD

nonn

AUTHOR

Ralf W. Grosse-Kunstleve

STATUS

approved

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Last modified June 15 04:47 EDT 2021. Contains 345043 sequences. (Running on oeis4.)