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A008129 Coordination sequence T1 for Zeolite Code LIO. 1
1, 4, 10, 20, 34, 53, 76, 103, 135, 170, 209, 252, 300, 354, 410, 470, 534, 602, 676, 752, 833, 918, 1007, 1103, 1200, 1301, 1406, 1516, 1634, 1752, 1874, 2000, 2130, 2268, 2406, 2549, 2696, 2847, 3007, 3166, 3329, 3496, 3668, 3850, 4030, 4214, 4402, 4594 (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(15*m+k) = 468*m^2 + b(k)*m + c(k), where b(k), c(k) are constants depending on k, 0<=k<15 (N. J. A. Sloane).

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

CROSSREFS

Sequence in context: A008012 A301218 A301217 * A047964 A047953 A301035

Adjacent sequences:  A008126 A008127 A008128 * A008130 A008131 A008132

KEYWORD

nonn,easy

AUTHOR

Ralf W. Grosse-Kunstleve

STATUS

approved

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Last modified October 20 10:43 EDT 2021. Contains 348100 sequences. (Running on oeis4.)