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A161877 Number of reduced words of length n in the Weyl group B_17.

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%I A161877 #9 Mar 17 2025 18:32:51
%S A161877 1,17,152,952,4691,19363,69615,223839,656013,1777469,4501652,10749780,
%T A161877 24374702,52784014,109694031,219658751,425310726,798645126,1458198681,
%U A161877 2594648969,4508216638,7662325662,12759298116,20845464260,33454989519
%N A161877 Number of reduced words of length n in the Weyl group B_17.
%C A161877 Computed with MAGMA using commands similar to those used to compute A161409.
%D A161877 J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge, 1990. See under Poincaré polynomial.
%D A161877 N. Bourbaki, Groupes et alg. de Lie, Chap. 4, 5, 6. (The group is defined in Planche II.)
%H A161877 Andrew Howroyd, <a href="/A161877/b161877.txt">Table of n, a(n) for n = 0..289</a>
%F A161877 G.f. for B_m is the polynomial Prod_{k=1..m}(1-x^(2k))/(1-x). Only finitely many terms are nonzero. This is a row of the triangle in A128084.
%Y A161877 Row n=17 of A128084.
%K A161877 nonn,fini,full
%O A161877 0,2
%A A161877 _John Cannon_ and _N. J. A. Sloane_, Nov 30 2009