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A165183
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Number of reduced words of length n in Coxeter group on 3 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.
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0
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1, 3, 6, 12, 24, 48, 96, 192, 384, 765, 1524, 3039, 6060, 12084, 24096, 48048, 95808, 191040, 380934, 759585, 1514616, 3020151, 6022194, 12008280, 23944560, 47745552, 95204832, 189838836, 378539436, 754809225, 1505092764, 3001161291
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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 A003945, 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 + t^7 + t^6 + t^5 + t^4 + t^3 + t^2 + t + 1)/(t^8 - 2*t^7 + t^6 - 2*t^5
+ t^4 - 2*t^3 + t^2 - 2*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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