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A162380 Number of reduced words of length n in the Weyl group D_33. 0


%S 1,33,560,6512,58343,429319,2701215,14938495,74085099,334526731,

%T 1391777608,5386279880,19542335516,66903867676,217315477325,

%U 672858527085,1993883448271,5674663272047,15558879389713,41208936343729

%N Number of reduced words of length n in the Weyl group D_33.

%C Computed with MAGMA using commands similar to those used to compute A161409.

%D N. Bourbaki, Groupes et alg. de Lie, Chap. 4, 5, 6. (The group is defined in Planche IV.)

%D J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge, 1990. See under Poincaré polynomial.

%F G.f. for D_m is the polynomial f(n) * Product( f(2i), i=1..n-1 )/ f(1)^n, where f(k) = 1-x^k. Only finitely many terms are nonzero. This is a row of the triangle in A162206.

%K nonn

%O 0,2

%A _John Cannon_ and _N. J. A. Sloane_, Dec 01 2009

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Last modified October 23 16:20 EDT 2021. Contains 348215 sequences. (Running on oeis4.)