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 A161646 Number of reduced words of length n in the Weyl group A_33. 0
 1, 33, 560, 6511, 58310, 428758, 2694670, 14879591, 73649236, 331766645, 1376403810, 5309441207, 19192493331, 65435680747, 211582057035, 651862949646, 1921320303715, 5436687172806, 14814852190943, 38982477962760 (list; graph; refs; listen; history; text; internal format)
 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.) LINKS Table of n, a(n) for n=0..19. 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: A342199 A002608 A010949 * A161988 A162380 A188357 Adjacent sequences: A161643 A161644 A161645 * A161647 A161648 A161649 KEYWORD nonn AUTHOR John Cannon and N. J. A. Sloane, Nov 30 2009 STATUS approved

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Last modified December 3 05:03 EST 2023. Contains 367531 sequences. (Running on oeis4.)