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A161932 Number of reduced words of length n in the Weyl group B_25. 0

%I #5 Jul 19 2015 10:25:00

%S 1,25,324,2900,20149,115805,572975,2507895,9904050,35818770,120016066,

%T 376029250,1110031585,3106677225,8286768736,21161266240,51931463950,

%U 122883804990,281186004075,623785796595,1344621849285,2822018693325

%N Number of reduced words of length n in the Weyl group B_25.

%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 October 4 20:53 EDT 2023. Contains 365888 sequences. (Running on oeis4.)