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A161572
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Number of reduced words of length n in the Weyl group A_29.
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0
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1, 29, 434, 4465, 35495, 232377, 1304014, 6446730, 28642170, 116097325, 434408952, 1514708484, 4959734019, 15348506070, 45132933015, 126688273871, 340810617684, 881691108429, 2200155580460, 5309773970610, 12422422786266
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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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