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A161679 Number of reduced words of length n in the Weyl group A_44. 0

%I #5 Jul 19 2015 10:29:35

%S 1,44,989,15135,177330,1696090,13789281,97978552,620888610,3563495915,

%T 18748484569,91307324410,414916710263,1771027595355,7140808776515,

%U 27329013354044,99693953208860,347908423900311,1165210802267460

%N Number of reduced words of length n in the Weyl group A_44.

%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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