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%I #5 Nov 23 2016 15:35:29
%S 1,50,2450,118825,5762400,279417600,13548901800,656982748800,
%T 31856924131200,1544734021723200,74903753688422400,
%U 3632063667308697600,176117828998315276800,8539908033612366028800,414097934532557674291200
%N 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.
%C The initial terms coincide with those of A170769, although the two sequences are eventually different.
%C Computed with MAGMA using commands similar to those used to compute A154638.
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (48, 48, -1176).
%F G.f.: (t^3 + 2*t^2 + 2*t + 1)/(1176*t^3 - 48*t^2 - 48*t + 1)
%K nonn
%O 0,2
%A _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009