A161668 - OEIS

%I #5 Jul 19 2015 10:29:44

%S 1,43,945,14146,162195,1518760,12093191,84189271,522910058,2942607305,

%T 15184988654,72558839841,323609385853,1356110885092,5369781181160,

%U 20188204577529,72364939854816,248214470691451,817302378367149

%N Number of reduced words of length n in the Weyl group A_43.

%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