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A161524
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Number of reduced words of length n in the Weyl group A_24.
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0
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1, 24, 299, 2575, 17225, 95356, 454570, 1917371, 7297900, 25440025, 82164420, 248144910, 706071989, 1904675750, 4896605450, 12050462774, 28497479390, 64974224900, 143239635450, 306109412100, 635562468075, 1284626463105
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OFFSET
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0,2
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COMMENTS
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Computed with MAGMA using commands similar to those used to compute A161409.
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REFERENCES
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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.)
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LINKS
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FORMULA
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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.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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