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A162168 Number of reduced words of length n in the Weyl group B_39. 0

%I #5 Jul 19 2015 10:22:30

%S 1,39,779,10621,111149,951899,6946342,44406362,253761833,1316306927,

%T 6272724030,27727887538,114598003169,445761614951,1641026089535,

%U 5744952627593,19204564723487,61521719896985,189464360814690

%N Number of reduced words of length n in the Weyl group B_39.

%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 13 09:49 EDT 2024. Contains 372504 sequences. (Running on oeis4.)