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A162803 Number of reduced words of length n in Coxeter group on 17 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I. 0
1, 17, 272, 4216, 65280, 1009800, 15620280, 241617600, 3737392200, 57810713400, 894227472000, 13832085717000, 213957412227000, 3309535172520000, 51192538485165000, 791856215398035000, 12248587087545600000 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
The initial terms coincide with those of A170736, although the two sequences are eventually different.
Computed with MAGMA using commands similar to those used to compute A154638.
LINKS
FORMULA
G.f.: (t^3 + 2*t^2 + 2*t + 1)/(120*t^3 - 15*t^2 - 15*t + 1)
MATHEMATICA
coxG[{3, 120, -15}] (* The coxG program is at A169452 *) (* Harvey P. Dale, Aug 08 2017 *)
CROSSREFS
Sequence in context: A090380 A142898 A159678 * A097830 A163093 A163451
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Dec 03 2009
STATUS
approved

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Last modified March 2 06:08 EST 2024. Contains 370460 sequences. (Running on oeis4.)