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A161668
Number of reduced words of length n in the Weyl group A_43.
0
1, 43, 945, 14146, 162195, 1518760, 12093191, 84189271, 522910058, 2942607305, 15184988654, 72558839841, 323609385853, 1356110885092, 5369781181160, 20188204577529, 72364939854816, 248214470691451, 817302378367149
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: A332910 A157722 A010959 * A162181 A162412 A010995
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Nov 30 2009
STATUS
approved