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A165169
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Number of reduced words of length n in Coxeter group on 37 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
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0
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1, 37, 1332, 47952, 1726272, 62145792, 2237248512, 80540946432, 2899474070886, 104381066527920, 3757718394142650, 135277862158086480, 4870003036573352160, 175320109276401277440, 6311523932501827576320
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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 A170756, 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)/(630*t^8 -
35*t^7 - 35*t^6 - 35*t^5 - 35*t^4 - 35*t^3 - 35*t^2 - 35*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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