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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 (list; graph; refs; listen; history; text; internal format)
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 Alg├Ębres 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. 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.

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

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

CROSSREFS

The growth series for the finite Coxeter (or Weyl) groups B_2 through B_12 are A161696-A161699, 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, A267167-A267175.

Sequence in context: A033608 A008577 A033605 * A008023 A008055 A137441

Adjacent sequences:  A008134 A008135 A008136 * A008138 A008139 A008140

KEYWORD

nonn,easy

AUTHOR

R. W. Grosse-Kunstleve (rwgk(AT)cci.lbl.gov)

STATUS

approved

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Last modified December 11 04:56 EST 2016. Contains 279034 sequences.