A161650 - OEIS

%I #5 Jul 19 2015 10:30:41

%S 1,37,702,9101,90649,739519,5144554,31374188,171146091,847944578,

%T 3861657774,16321615011,64529638952,240223233007,846721957621,

%U 2839208322885,9094185142605,27924842403393,82459222282804

%N Number of reduced words of length n in the Weyl group A_37.

%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