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A161976 Number of reduced words of length n in the Weyl group B_30. 0

%I #5 Jul 19 2015 10:24:08

%S 1,30,464,4930,40454,273266,1581775,8064464,36943940,154385704,

%T 595514217,2140442150,7224301969,23043923160,69844600965,202081362622,

%U 560350431315,1494273031164,3843681391300,9562404542460,23062890166272

%N Number of reduced words of length n in the Weyl group B_30.

%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 April 25 13:02 EDT 2024. Contains 371969 sequences. (Running on oeis4.)