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A162392 Number of reduced words of length n in the Weyl group D_38. 0

%I

%S 1,38,740,9842,100528,840750,5994443,37460020,209355471,1062545094,

%T 4956417103,21455163508,86870115631,331163611782,1195264474584,

%U 4103926538058,13459612095894,42317155173498,127942640917705

%N Number of reduced words of length n in the Weyl group D_38.

%C Computed with MAGMA using commands similar to those used to compute A161409.

%D N. Bourbaki, Groupes et alg. de Lie, Chap. 4, 5, 6. (The group is defined in Planche IV.)

%D J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge, 1990. See under Poincaré polynomial.

%F G.f. for D_m is the polynomial f(n) * Product( f(2i), i=1..n-1 )/ f(1)^n, where f(k) = 1-x^k. Only finitely many terms are nonzero. This is a row of the triangle in A162206.

%K nonn

%O 0,2

%A _John Cannon_ and _N. J. A. Sloane_, Dec 01 2009

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Last modified September 27 19:04 EDT 2020. Contains 337388 sequences. (Running on oeis4.)