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

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%I A161931 #9 Mar 17 2025 22:19:00
%S A161931 1,24,299,2576,17249,95656,457170,1934920,7396155,25914720,84197296,
%T A161931 256013184,734002335,1996645640,5180091511,12874497504,30770197710,
%U A161931 70952341040,158302199085,342599792520,720836052690,1477396844040,2954878145505,5776377855120,11052719207369
%N A161931 Number of reduced words of length n in the Weyl group B_24.
%C A161931 Computed with MAGMA using commands similar to those used to compute A161409.
%D A161931 J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge, 1990. See under Poincaré polynomial.
%D A161931 N. Bourbaki, Groupes et alg. de Lie, Chap. 4, 5, 6. (The group is defined in Planche II.)
%H A161931 Andrew Howroyd, <a href="/A161931/b161931.txt">Table of n, a(n) for n = 0..576</a>
%F A161931 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.
%Y A161931 Row n=24 of A128084.
%K A161931 nonn,fini,full
%O A161931 0,2
%A A161931 _John Cannon_ and _N. J. A. Sloane_, Nov 30 2009