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%I #5 Nov 23 2016 15:29:22
%S 1,32,992,30256,922560,28123200,857303760,26133818400,796656376800,
%T 24285059607600,740299253976000,22567084192296000,687928950670626000,
%U 20970641892788820000,639263431154365740000,19487135229352795710000
%N Number of reduced words of length n in Coxeter group on 32 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.
%C The initial terms coincide with those of A170751, 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 (30, 30, -465).
%F G.f.: (t^3 + 2*t^2 + 2*t + 1)/(465*t^3 - 30*t^2 - 30*t + 1)
%K nonn
%O 0,2
%A _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009