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A162193
Number of reduced words of length n in the Weyl group B_48.
0
1, 48, 1175, 19552, 248723, 2579312, 22706404, 174482000, 1194358970, 7396268880, 41942496051, 219939217728, 1075086490926, 4931595192160, 21350092231441, 87658196804688, 342762976614961, 1281150739056160
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 II.)
FORMULA
G.f. for B_m is the polynomial Prod_{k=1..m}(1-x^(2k))/(1-x). Only finitely many terms are nonzero. This is a row of the triangle in A128084.
CROSSREFS
Sequence in context: A035797 A213442 A161693 * A162461 A344401 A369561
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Nov 30 2009
STATUS
approved