login
A161523
Number of reduced words of length n in the Weyl group A_23.
0
1, 23, 275, 2276, 14650, 78131, 359214, 1462801, 5380529, 18142125, 56724395, 165980490, 457927079, 1198603761, 2991929700, 7153857324, 16447016616, 36476745510, 78265410550, 162869776650, 329453055975, 649063995030
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: A142220 A257930 A142027 * A161930 A162365 A162680
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Nov 30 2009
STATUS
approved