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A161694 Number of reduced words of length n in the Weyl group A_49. 0

%I #5 Jul 19 2015 10:28:55

%S 1,49,1224,20775,269450,2847586,25534390,199766491,1391526550,

%T 8764839175,50530255490,269252177545,1336765568579,6225203548375,

%U 27347806169775,113887933772724,451493020193130,1710182996663175

%N Number of reduced words of length n in the Weyl group A_49.

%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 I.)

%F G.f. for A_m is the polynomial Prod_{k=1..m}(1-x^(k+1))/(1-x). Only finitely many terms are nonzero. This is a row of the triangle in A008302.

%K nonn

%O 0,2

%A _John Cannon_ and _N. J. A. Sloane_, Nov 30 2009

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Last modified May 17 19:53 EDT 2024. Contains 372607 sequences. (Running on oeis4.)