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A162182 Number of reduced words of length n in the Weyl group B_44. 0

%I #5 Jul 19 2015 10:21:40

%S 1,44,989,15136,177374,1697080,13804461,98156916,622600869,3577478696,

%T 18848352755,91943892924,418593879770,1790510819500,7236416033496,

%U 27766992285908,101579448507141,355579239690840,1194844427708580

%N Number of reduced words of length n in the Weyl group B_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 II.)

%F G.f. for B_m is the polynomial Prod_{k=1..m}(1-x^(2k))/(1-x). Only finitely many terms are nonzero. This is a row of the triangle in A128084.

%K nonn

%O 0,2

%A _John Cannon_ and _N. J. A. Sloane_, Nov 30 2009

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Last modified May 23 07:28 EDT 2024. Contains 372760 sequences. (Running on oeis4.)