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A161931 Number of reduced words of length n in the Weyl group B_24. 0

%I #5 Jul 19 2015 10:25:11

%S 1,24,299,2576,17249,95656,457170,1934920,7396155,25914720,84197296,

%T 256013184,734002335,1996645640,5180091511,12874497504,30770197710,

%U 70952341040,158302199085,342599792520,720836052690,1477396844040

%N Number of reduced words of length n in the Weyl group B_24.

%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 April 19 11:31 EDT 2024. Contains 371792 sequences. (Running on oeis4.)