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%I #7 Apr 17 2022 21:35:12
%S 1,50,1274,22050,291549,3140360,28695575,228732790,1623128975,
%T 10413794040,61146955156,331819334000,1677578203770,7954932265700,
%U 35582378559071,150868021657130,608916641370150,2348116000139330
%N Number of reduced words of length n in the Weyl group B_50.
%C Computed with MAGMA using commands similar to those used to compute A161409.
%D J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge, 1990. See under Poincaré polynomial.
%D N. Bourbaki, Groupes et alg. de Lie, Chap. 4, 5, 6. (The group is defined in Planche II.)
%F G.f. for B_m is the polynomial Product_{k=1..m}(1-x^(2k))/(1-x). Only finitely many terms are nonzero. This is a row of the triangle in A128084.
%Y Cf. A128084.
%K nonn
%O 0,2
%A _John Cannon_ and _N. J. A. Sloane_, Nov 30 2009
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