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%I #5 Jul 19 2015 10:31:53
%S 1,30,464,4929,40424,272801,1576815,8023545,36665715,152763040,
%T 587171992,2101880476,7061614495,22410120565,67543053580,194231327451,
%U 535041945135,1416733053564,3616888634024,8926662604634,21349085390900
%N Number of reduced words of length n in the Weyl group A_30.
%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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