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A161646 Number of reduced words of length n in the Weyl group A_33. 0


%S 1,33,560,6511,58310,428758,2694670,14879591,73649236,331766645,

%T 1376403810,5309441207,19192493331,65435680747,211582057035,

%U 651862949646,1921320303715,5436687172806,14814852190943,38982477962760

%N Number of reduced words of length n in the Weyl group A_33.

%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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Last modified September 16 23:53 EDT 2021. Contains 347477 sequences. (Running on oeis4.)