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%I #5 Jul 19 2015 10:26:54
%S 1,14,104,546,2274,7994,24647,68392,173978,411332,913445,1921218,
%T 3852849,7407596,13716315,24553998,42632552,71995170,118536730,
%U 190677578,300220648,463423974,702322075,1046330260,1534165425
%N Number of reduced words of length n in the Weyl group B_14.
%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 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 nonn
%O 0,2
%A _John Cannon_ and _N. J. A. Sloane_, Nov 30 2009