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%I #12 Feb 23 2024 04:20:19
%S 1,11,110,1100,11000,110000,1100000,11000000,109999945,1099998900,
%T 10999983555,109999781100,1099997266500,10999967220000,
%U 109999617750000,1099995633000000,10999950885002970,109999454400086625
%N Number of reduced words of length n in Coxeter group on 11 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
%C The initial terms coincide with those of A003953, 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_08">Index entries for linear recurrences with constant coefficients</a>, signature (9, 9, 9, 9, 9, 9, 9, -45).
%F G.f.: (t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(45*t^8 - 9*t^7 - 9*t^6 - 9*t^5 - 9*t^4 - 9*t^3 - 9*t^2 - 9*t + 1).
%t coxG[{8,45,-9}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Feb 10 2019 *)
%K nonn
%O 0,2
%A _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009
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