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A162919
Number of reduced words of length n in Coxeter group on 50 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.
0
1, 50, 2450, 118825, 5762400, 279417600, 13548901800, 656982748800, 31856924131200, 1544734021723200, 74903753688422400, 3632063667308697600, 176117828998315276800, 8539908033612366028800, 414097934532557674291200
OFFSET
0,2
COMMENTS
The initial terms coincide with those of A170769, although the two sequences are eventually different.
Computed with MAGMA using commands similar to those used to compute A154638.
FORMULA
G.f.: (t^3 + 2*t^2 + 2*t + 1)/(1176*t^3 - 48*t^2 - 48*t + 1)
CROSSREFS
Sequence in context: A231696 A285877 A156087 * A163290 A163837 A164351
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Dec 03 2009
STATUS
approved