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%I #8 Nov 26 2016 16:33:47
%S 1,3,6,12,24,48,96,192,384,768,1533,3060,6111,12204,24372,48672,97200,
%T 194112,387648,774144,1545990,3087393,6165624,12312951,24589362,
%U 49105752,98065776,195840528,391099872,781039104,1559760372,3114891948
%N Number of reduced words of length n in Coxeter group on 3 generators S_i with relations (S_i)^2 = (S_i S_j)^10 = I.
%C The initial terms coincide with those of A003945, 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_10">Index entries for linear recurrences with constant coefficients</a>, signature (1, 1, 1, 1, 1, 1, 1, 1, 1, -1).
%F G.f. (t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t
%F + 1)/(t^10 - t^9 - t^8 - t^7 - t^6 - t^5 - t^4 - t^3 - t^2 - t + 1)
%K nonn
%O 0,2
%A _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009
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