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A009892 Coordination sequence T3 for Zeolite Code RTE. 1
1, 4, 11, 21, 35, 57, 80, 106, 139, 176, 218, 261, 311, 365, 422, 487, 551, 622, 698, 777, 862, 948, 1042, 1138, 1238, 1345, 1454, 1568, 1684, 1808, 1937, 2065, 2200, 2341, 2485, 2633, 2785, 2942, 3103, 3268, 3439, 3612, 3790, 3973, 4159, 4352, 4546 (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 + x) * (1 + 3*x + 9*x^2 + 15*x^3 + 27*x^4 + 38*x^5 + 48*x^6 + 56*x^7 + 57*x^8 + 56*x^9 + 48*x^10 + 38*x^11 + 27*x^12 + 15*x^13 + 9*x^14 + 3*x^15 + x^16) / ((1 - x)^3 * (1 + x^2) * (1 + x + x^2) * (1 + x + x^2 + x^3 + x^4) * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - Colin Barker, Dec 21 2015

CROSSREFS

Sequence in context: A008014 A008007 A307273 * A301238 A016434 A008119

Adjacent sequences:  A009889 A009890 A009891 * A009893 A009894 A009895

KEYWORD

nonn

AUTHOR

Ralf W. Grosse-Kunstleve

STATUS

approved

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Last modified May 7 00:22 EDT 2021. Contains 343609 sequences. (Running on oeis4.)