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A161475 Number of reduced words of length n in the Weyl group A_14. 0
1, 14, 104, 545, 2260, 7889, 24087, 66013, 165425, 384320, 836604, 1720774, 3366951, 6301715, 11333950, 19664205, 33018831, 53808313, 85306779, 131846699, 199019426, 293868698, 425060810, 603012233, 839953393, 1149906518 (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..25.

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: A295210 A255721 A089508 * A162301 A161862 A266561

Adjacent sequences:  A161472 A161473 A161474 * A161476 A161477 A161478

KEYWORD

nonn

AUTHOR

John Cannon and N. J. A. Sloane, Nov 30 2009

STATUS

approved

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Last modified June 27 19:31 EDT 2022. Contains 354898 sequences. (Running on oeis4.)