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A161572 Number of reduced words of length n in the Weyl group A_29. 0

%I #5 Jul 19 2015 10:32:02

%S 1,29,434,4465,35495,232377,1304014,6446730,28642170,116097325,

%T 434408952,1514708484,4959734019,15348506070,45132933015,126688273871,

%U 340810617684,881691108429,2200155580460,5309773970610,12422422786266

%N Number of reduced words of length n in the Weyl group A_29.

%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 September 4 15:57 EDT 2024. Contains 375685 sequences. (Running on oeis4.)