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A267175
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Growth series for affine Coxeter group B_12.
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21
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1, 13, 90, 443, 1741, 5811, 17109, 45577, 111852, 256282, 553866, 1138110, 2237924, 4233126, 7735923, 13707967, 23625303, 39706809, 65225654, 104927954, 165588279, 256738054, 391610309, 588352779, 871571154, 1274275456, 1840315206, 2627403376, 3710845242, 5188106314, 7184373674, 9859287465, 13415044111, 18106100284, 24250736849
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OFFSET
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0,2
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REFERENCES
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N. Bourbaki, Groupes et Algèbres de Lie, Chap. 4, 5 and 6, Hermann, Paris, 1968. See Chap. VI, Section 4, Problem 10b, page 231, W_a(t).
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LINKS
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Table of n, a(n) for n=0..34.
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FORMULA
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The growth series for the affine Coxeter group of type B_k (k >= 2) has G.f. = (1-x^{m_k})/((1-x)*Prod_i (1-x^{m_i})) where the m_i are [1,3,5,...,2k-1].
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CROSSREFS
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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: A162300 A161859 A057788 * A266767 A166215 A296574
Adjacent sequences: A267172 A267173 A267174 * A267176 A267177 A267178
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane, Jan 11 2016
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STATUS
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approved
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