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A165167
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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)^8 = I.
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0
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1, 35, 1190, 40460, 1375640, 46771760, 1590239840, 54068154560, 1838317254445, 62502786630900, 2125094744763375, 72253221298589100, 2456609523357597300, 83524723767147616800, 2839840607164655463600, 96554580612373926504000
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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^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(561*t^8 -
33*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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