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A161972 Number of reduced words of length n in the Weyl group B_29.

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%I A161972 #9 Mar 17 2025 22:16:26
%S A161972 1,29,434,4466,35524,232812,1308509,6482689,28879476,117441764,
%T A161972 441128513,1544927933,5083859819,15819621191,46800677805,132236761657,
%U A161972 358269068693,933922599849,2349408360136,5718723151160,13500485623812,30975333122308,69200799829694,150787694622966
%N A161972 Number of reduced words of length n in the Weyl group B_29.
%C A161972 Computed with MAGMA using commands similar to those used to compute A161409.
%D A161972 J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge, 1990. See under Poincaré polynomial.
%D A161972 N. Bourbaki, Groupes et alg. de Lie, Chap. 4, 5, 6. (The group is defined in Planche II.)
%H A161972 Andrew Howroyd, <a href="/A161972/b161972.txt">Table of n, a(n) for n = 0..841</a>
%F A161972 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 A161972 Row n=29 of A128084.
%K A161972 nonn,fini,full
%O A161972 0,2
%A A161972 _John Cannon_ and _N. J. A. Sloane_, Nov 30 2009