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A164669
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Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.
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0
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1, 33, 1056, 33792, 1081344, 34603008, 1107296256, 35433479664, 1133871332352, 36283882095120, 1161084209759232, 37154694159187968, 1188950195394576384, 38046405686244409344, 1217484963835596259056, 38959518262763894053632
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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 A170752, 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^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(496*t^7 - 31*t^6 - 31*t^5 - 31*t^4 - 31*t^3 - 31*t^2 - 31*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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