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A165176
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Number of reduced words of length n in Coxeter group on 44 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
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0
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1, 44, 1892, 81356, 3498308, 150427244, 6468371492, 278139974156, 11960018887762, 514280812133088, 22114074919974576, 950905221483733824, 40888924520568117840, 1758223754245434293664, 75603621426576899368944
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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 A170763, 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^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(903*t^8 -
42*t^7 - 42*t^6 - 42*t^5 - 42*t^4 - 42*t^3 - 42*t^2 - 42*t + 1)
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MATHEMATICA
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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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