

A161648


Number of reduced words of length n in the Weyl group A_35.


0



1, 35, 629, 7734, 73149, 567322, 3756165, 21824599, 113542269, 537026584, 2336914709, 9446244041, 35748066704, 127485570114, 430805130559, 1385987640650, 4262490454456, 12575680441068, 35703722618623
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OFFSET

0,2


COMMENTS

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


REFERENCES

J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge, 1990. See under PoincarĂ© polynomial.
N. Bourbaki, Groupes et alg. de Lie, Chap. 4, 5, 6. (The group is defined in Planche I.)


LINKS

Table of n, a(n) for n=0..18.


FORMULA

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


CROSSREFS

Sequence in context: A208617 A010951 A033281 * A162149 A162384 A126925
Adjacent sequences: A161645 A161646 A161647 * A161649 A161650 A161651


KEYWORD

nonn


AUTHOR

John Cannon and N. J. A. Sloane, Nov 30 2009


STATUS

approved



