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A163954
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Number of reduced words of length n in Coxeter group on 10 generators S_i with relations (S_i)^2 = (S_i S_j)^6 = I.
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0
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1, 10, 90, 810, 7290, 65610, 590445, 5313600, 47818800, 430336800, 3872739600, 34852032000, 313644670380, 2822589491040, 25401392681760, 228595320793440, 2057202978723360, 18513432737727840, 166608348947205840
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| The initial terms coincide with those of A003952, although the two sequences are eventually different.
Computed with MAGMA using commands similar to those used to compute A154638.
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FORMULA
| G.f. (t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(36*t^6 - 8*t^5 - 8*t^4 -
8*t^3 - 8*t^2 - 8*t + 1)
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CROSSREFS
| Sequence in context: A010576 A162983 A163397 * A164548 A164779 A165219
Adjacent sequences: A163951 A163952 A163953 * A163955 A163956 A163957
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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 03 2009
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