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A267174 Growth series for affine Coxeter group B_11. 0
1, 12, 77, 353, 1298, 4070, 11298, 28468, 66275, 144430, 297584, 584244, 1099814, 1995202, 3502797, 5972044, 9917336, 16081506, 25518845, 39702300, 60660325, 91149775, 134872255, 196742469, 283218364, 402704237, 566039474, 787087225, 1083439094, 1477253844, 1996250190, 2674875984, 3555678491, 4690903019, 6144349905, 7993522778 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

N. Bourbaki, Groupes 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).

LINKS

Table of n, a(n) for n=0..35.

FORMULA

The growth series for the affine Coxeter group of type B_k (k >= 2) has g.f. = Product_i (1-x^{m_i+1})/((1-x)*(1-x^{m_i})) where the m_i are [1,3,5,...,2k-1].

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: A162297 A161858 A054334 * A266766 A026964 A026974

Adjacent sequences:  A267171 A267172 A267173 * A267175 A267176 A267177

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jan 11 2016

STATUS

approved

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Last modified January 25 18:15 EST 2022. Contains 350572 sequences. (Running on oeis4.)