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A164974
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Number of reduced words of length n in Coxeter group on 29 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
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0
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1, 29, 812, 22736, 636608, 17825024, 499100672, 13974818816, 391294926442, 10956257929008, 306775221694326, 8589706198539984, 240511773309887520, 6734329645698353664, 188561229884155989504, 5279714431285226139648
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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 A170748, 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)/(378*t^8 -
27*t^7 - 27*t^6 - 27*t^5 - 27*t^4 - 27*t^3 - 27*t^2 - 27*t + 1)
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MATHEMATICA
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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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