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%I A162150 #5 Jul 19 2015 10:22:57
%S A162150 1,36,665,8400,81584,649536,4413471,26311884,140429874,681294172,
%T A162150 3040682386,12604874396,48916205718,178878544028,619807366651,
%U A162150 2044561200672,6447023494362,19501857519768,56767942666603
%N A162150 Number of reduced words of length n in the Weyl group B_36.
%C A162150 Computed with MAGMA using commands similar to those used to compute A161409.
%D A162150 N. Bourbaki, Groupes et alg. de Lie, Chap. 4, 5, 6. (The group is defined in Planche II.)
%D A162150 J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge, 1990. See under Poincaré polynomial.
%F A162150 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.
%K A162150 nonn
%O A162150 0,2
%A A162150 _John Cannon_ and _N. J. A. Sloane_, Nov 30 2009

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