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A162754
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Number of reduced words of length n in Coxeter group on 8 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.
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0
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1, 8, 56, 364, 2352, 15120, 97188, 624456, 4012344, 25779852, 165639600, 1064257488, 6838005636, 43935147144, 282289509432, 1813749821100, 11653597893168, 74876006587536, 481088880641124, 3091063767615432
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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 A003950, 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)/(21*t^3 - 6*t^2 - 6*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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