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A164671
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Number of reduced words of length n in Coxeter group on 35 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.
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0
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1, 35, 1190, 40460, 1375640, 46771760, 1590239840, 54068153965, 1838317214580, 62502784608495, 2125094653323180, 72253217418556020, 2456609365220213280, 83524717499123743920, 2839840363745848388310, 96554571305730654116385
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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 A170754, 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)/(561*t^7 - 33*t^6 - 33*t^5 - 33*t^4 - 33*t^3 - 33*t^2 - 33*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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