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A164983
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Number of reduced words of length n in Coxeter group on 30 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
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0
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1, 30, 870, 25230, 731670, 21218430, 615334470, 17844699630, 517496288835, 15007392363600, 435214378179000, 12621216956594400, 366015291433936200, 10614443442672409200, 307818859579059389400, 8926746920297948448000
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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 A170749, 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)/(406*t^8 -
28*t^7 - 28*t^6 - 28*t^5 - 28*t^4 - 28*t^3 - 28*t^2 - 28*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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