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Number of reduced words of length n in Coxeter group on 24 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.
0

%I #5 Nov 23 2016 15:26:53

%S 1,24,552,12420,279312,6278448,141128460,3172286040,71306671656,

%T 1602831568932,36028452924816,809847670933488,18203758337942892,

%U 409184133605301912,9197642162005213224,206744627643931781316

%N Number of reduced words of length n in Coxeter group on 24 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

%C The initial terms coincide with those of A170743, 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 (22, 22, -253).

%F G.f.: (t^3 + 2*t^2 + 2*t + 1)/(253*t^3 - 22*t^2 - 22*t + 1)

%K nonn

%O 0,2

%A _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009