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A161477 Number of reduced words of length n in the Weyl group A_16. 0

%I #5 Jul 19 2015 10:34:04

%S 1,16,135,799,3723,14536,49436,150349,416687,1067345,2554607,5762643,

%T 12337630,25214332,49424984,93299841,170193528,300895513,516904159,

%U 864758855,1411630172,2252360038,3518118738,5386799571,8095202359

%N Number of reduced words of length n in the Weyl group A_16.

%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 August 18 22:11 EDT 2024. Contains 375284 sequences. (Running on oeis4.)