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A162204 Number of reduced words of length n in the Weyl group B_49.

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%I A162204 #5 Jul 19 2015 10:20:38
%S A162204 1,49,1224,20776,269499,2848811,25555215,200037215,1394396185,
%T A162204 8790665065,50733161116,270672378844,1345758869770,6277354061930,
%U A162204 27627446293371,115285643098059,458048619713020,1739199358769180
%N A162204 Number of reduced words of length n in the Weyl group B_49.
%C A162204 Computed with MAGMA using commands similar to those used to compute A161409.
%D A162204 J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge, 1990. See under Poincaré polynomial.
%D A162204 N. Bourbaki, Groupes et alg. de Lie, Chap. 4, 5, 6. (The group is defined in Planche II.)
%F A162204 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 A162204 nonn
%O A162204 0,2
%A A162204 _John Cannon_ and _N. J. A. Sloane_, Nov 30 2009