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%I #5 Jul 19 2015 10:21:04
%S 1,47,1127,18377,229171,2330589,20127092,151775596,1019876970,
%T 6201909910,34546227171,177996721677,855147273198,3856508701234,
%U 16418497039281,66308104573247,255104779810273,938387762441199
%N Number of reduced words of length n in the Weyl group B_47.
%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
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