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A164963
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Number of reduced words of length n in Coxeter group on 25 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
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0
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1, 25, 600, 14400, 345600, 8294400, 199065600, 4777574400, 114661785300, 2751882840000, 66045187987500, 1585084507560000, 38042028082080000, 913008671585280000, 21912208060815360000, 525892992086016000000
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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 A170744, 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)/(276*t^8 -
23*t^7 - 23*t^6 - 23*t^5 - 23*t^4 - 23*t^3 - 23*t^2 - 23*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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