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A161649
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Number of reduced words of length n in the Weyl group A_36.
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0
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1, 36, 665, 8399, 81548, 648870, 4405035, 26229634, 139771903, 676798487, 3013713196, 12459957237, 48208023941, 175693594055, 606498724614, 1992486365264, 6254976819720, 18830657260788, 54534379879411
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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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N. Bourbaki, Groupes et alg. de Lie, Chap. 4, 5, 6. (The group is defined in Planche I.)
J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge, 1990. See under Poincaré polynomial.
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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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