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%I #5 Jul 19 2015 10:34:16
%S 1,15,119,664,2924,10813,34900,100913,266338,650658,1487262,3208036,
%T 6574987,12876702,24210652,43874857,76893687,130701986,216008661,
%U 347854815,546871981,840732790,1265769513,1868715733,2708503701
%N Number of reduced words of length n in the Weyl group A_15.
%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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