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A161663
Number of reduced words of length n in the Weyl group A_42.
0
1, 42, 902, 13201, 148049, 1356565, 10574431, 72096080, 438720787, 2419697247, 12242381349, 57373851187, 251050546012, 1032501499239, 4013670296068, 14818423396369, 52176735277287, 175849530836635, 569087907675698
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 Poincaré polynomial.
N. Bourbaki, Groupes et alg. de Lie, Chap. 4, 5, 6. (The group is defined in Planche I.)
FORMULA
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.
CROSSREFS
Sequence in context: A010958 A035716 A296011 * A162179 A162411 A010994
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Nov 30 2009
STATUS
approved