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A161877 Number of reduced words of length n in the Weyl group B_17. 0

%I #5 Jul 19 2015 10:26:14

%S 1,17,152,952,4691,19363,69615,223839,656013,1777469,4501652,10749780,

%T 24374702,52784014,109694031,219658751,425310726,798645126,1458198681,

%U 2594648969,4508216638,7662325662,12759298116,20845464260,33454989519

%N Number of reduced words of length n in the Weyl group B_17.

%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 March 1 09:35 EST 2024. Contains 370432 sequences. (Running on oeis4.)