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A164769 Number of reduced words of length n in Coxeter group on 8 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I. 0
1, 8, 56, 392, 2744, 19208, 134456, 941192, 6588316, 46118016, 322824768, 2259763968, 15818281920, 110727512448, 775089360192, 5425602932736, 37979062409652, 265852330035768, 1860958562459976, 13026655702912824 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
The initial terms coincide with those of A003950, although the two sequences are eventually different.
Computed with MAGMA using commands similar to those used to compute A154638.
LINKS
FORMULA
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)/(21*t^8 - 6*t^7 - 6*t^6 - 6*t^5 - 6*t^4 - 6*t^3 - 6*t^2 - 6*t + 1).
CROSSREFS
Sequence in context: A163347 A163924 A164373 * A165215 A165786 A166366
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Dec 03 2009
STATUS
approved

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Last modified March 28 09:02 EDT 2024. Contains 371236 sequences. (Running on oeis4.)