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A164627 Number of reduced words of length n in Coxeter group on 16 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I. 0
1, 16, 240, 3600, 54000, 810000, 12150000, 182249880, 2733746400, 41006169120, 615092133600, 9226375956000, 138395548620000, 2075931868500000, 31138957615514280, 467084058053130000, 7006256278106196720 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
The initial terms coincide with those of A170735, although the two sequences are eventually different.
Computed with MAGMA using commands similar to those used to compute A154638.
LINKS
FORMULA
G.f.: (t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(105*t^7 - 14*t^6 - 14*t^5 - 14*t^4 - 14*t^3 - 14*t^2 - 14*t + 1).
CROSSREFS
Sequence in context: A163092 A163441 A163964 * A164867 A063814 A165308
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Dec 03 2009
STATUS
approved

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Last modified March 18 22:29 EDT 2024. Contains 370951 sequences. (Running on oeis4.)