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%I #5 Jul 19 2015 10:29:11
%S 1,47,1127,18376,229124,2329461,20108668,151545297,1017527958,
%T 6181552566,34392103690,176956505740,848791468979,3820924588762,
%U 16234164641604,65417524981549,251064958817457,921084890049639
%N Number of reduced words of length n in the Weyl group A_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 I.)
%F G.f. for A_m is the polynomial Prod_{k=1..m}(1-x^(k+1))/(1-x). Only finitely many terms are nonzero. This is a row of the triangle in A008302.
%K nonn
%O 0,2
%A _John Cannon_ and _N. J. A. Sloane_, Nov 30 2009
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