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A162913
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Number of reduced words of length n in Coxeter group on 48 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.
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0
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1, 48, 2256, 104904, 4877472, 226750560, 10541488248, 490066437936, 22782847249104, 1059158680807752, 49239548471206560, 2289112271116376928, 106419233167075660536, 4947355938259459431984, 229999127520543810796752
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OFFSET
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0,2
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COMMENTS
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The initial terms coincide with those of A170767, although the two sequences are eventually different.
Computed with MAGMA using commands similar to those used to compute A154638.
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LINKS
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FORMULA
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G.f.: (t^3 + 2*t^2 + 2*t + 1)/(1081*t^3 - 46*t^2 - 46*t + 1)
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MATHEMATICA
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coxG[{3, 1081, -46}] (* The coxG program is at A169452 *) (* or *) LinearRecurrence[{46, 46, -1081}, {1, 48, 2256, 104904}, 30] (* Harvey P. Dale, Dec 30 2017 *)
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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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