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A165745
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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)^10 = I.
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0
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1, 3, 6, 12, 24, 48, 96, 192, 384, 768, 1533, 3060, 6111, 12204, 24372, 48672, 97200, 194112, 387648, 774144, 1545990, 3087393, 6165624, 12312951, 24589362, 49105752, 98065776, 195840528, 391099872, 781039104, 1559760372, 3114891948
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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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Index entries for linear recurrences with constant coefficients, signature (1, 1, 1, 1, 1, 1, 1, 1, 1, -1).
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FORMULA
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G.f. (t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t
+ 1)/(t^10 - t^9 - t^8 - t^7 - t^6 - t^5 - t^4 - t^3 - t^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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