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A162452
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Number of reduced words of length n in the Weyl group D_46.
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0
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1, 46, 1080, 17250, 210794, 2101418, 17796503, 131648504, 868101374, 5182032940, 28344317261, 143450494506, 677150551521, 3001361428036, 12561988338047, 49889607533966, 188796675237026, 683282982630926, 2372613717733406
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Computed with MAGMA using commands similar to those used to compute A161409.
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REFERENCES
| N. Bourbaki, Groupes et alg. de Lie, Chap. 4, 5, 6. (The group is defined in Planche IV.)
J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge, 1990. See under Poincare polynomial.
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FORMULA
| G.f. for D_m is the polynomial f(n) * Product( f(2i), i=1..n-1 )/ f(1)^n, where f(k) = 1-x^k. Only finitely many terms are nonzero. This is a row of the triangle in A162206.
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CROSSREFS
| Sequence in context: A035718 A161691 A162186 * A010998 A004424 A060561
Adjacent sequences: A162449 A162450 A162451 * A162453 A162454 A162455
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KEYWORD
| nonn
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AUTHOR
| John Cannon (john(AT)maths.usyd.edu.au) and N. J. A. Sloane (njas(AT)research.att.com), Dec 01 2009
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