A161648 - OEIS

%I #5 Jul 19 2015 10:31:04

%S 1,35,629,7734,73149,567322,3756165,21824599,113542269,537026584,

%T 2336914709,9446244041,35748066704,127485570114,430805130559,

%U 1385987640650,4262490454456,12575680441068,35703722618623

%N Number of reduced words of length n in the Weyl group A_35.

%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