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A162804
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Number of reduced words of length n in Coxeter group on 18 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.
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0
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1, 18, 306, 5049, 83232, 1370880, 22579128, 371880576, 6124915584, 100877977152, 1661470525440, 27364587522048, 450697523867136, 7423033790767104, 122258117131149312, 2013603551504732160, 33164254102629777408
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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 A170737, 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)/(136*t^3 - 16*t^2 - 16*t + 1)
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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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