

A008137


Coordination sequence T1 for Zeolite Code LTA and RHO.


21



1, 4, 9, 17, 28, 42, 60, 81, 105, 132, 162, 196, 233, 273, 316, 362, 412, 465, 521, 580, 642, 708, 777, 849, 924, 1002, 1084, 1169, 1257, 1348, 1442, 1540, 1641, 1745, 1852, 1962, 2076, 2193, 2313, 2436, 2562, 2692, 2825, 2961, 3100, 3242, 3388, 3537, 3689
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OFFSET

0,2


COMMENTS

Also, growth series for the affine Coxeter (or Weyl) groups B_3.  N. J. A. Sloane, Jan 11 2016


REFERENCES

N. Bourbaki, Groups et Algèbres de Lie, Chap. 4, 5 and 6, Hermann, Paris, 1968. See Chap. VI, Section 4, Problem 10b, page 231, W_a(t).
W. M. Meier, D. H. Olson and Ch. Baerlocher, Atlas of Zeolite Structure Types, 4th Ed., Elsevier, 1996


LINKS

Table of n, a(n) for n=0..48.
R. W. GrosseKunstleve, Coordination Sequences and Encyclopedia of Integer Sequences
R. W. GrosseKunstleve, G. O. Brunner and N. J. A. Sloane, Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites, Acta Cryst., A52 (1996), pp. 879889.
International Zeolite Association, Database of Zeolite Structures
Index entries for linear recurrences with constant coefficients, signature (2,1,0,0,1,2,1).


FORMULA

a(5*m+k) = 40*m^2 + 16*k*m + one of 5 numbers depending on k, 0<=k<5 (N. J. A. Sloane).


MAPLE

(1x^2)*(1x^4)*(1x^6)/((1x)^4*(1x^3)*(1x^5));


CROSSREFS

The growth series for the finite Coxeter (or Weyl) groups B_2 through B_12 are A161696A161699, A161716, A161717, A161733, A161755, A161776, A161858. These are all rows of A128084. The growth series for the affine Coxeter (or Weyl) groups B_2 through B_12 are A008576, A008137, A267167A267175.
Sequence in context: A033608 A008577 A033605 * A008023 A008055 A137441
Adjacent sequences: A008134 A008135 A008136 * A008138 A008139 A008140


KEYWORD

nonn,easy


AUTHOR

R. W. GrosseKunstleve (rwgk(AT)cci.lbl.gov)


STATUS

approved



