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A161695
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Number of reduced words of length n in the Weyl group A_50.
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0
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1, 50, 1274, 22049, 291499, 3139085, 28673475, 228439966, 1619966516, 10384805691, 60915061181, 330167238726, 1666932807305, 7892136355680, 35239942525455, 149127876298179, 600620896491309, 2310803893154484
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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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