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%I #10 Feb 25 2024 09:09:34
%S 1,47,2162,99452,4574792,210440432,9680259872,445291953031,
%T 20483429789700,942237768039885,43342937224664220,1993775107496711580,
%U 91713654722307975840,4218828106989292074000,194066092450611195098040
%N Number of reduced words of length n in Coxeter group on 47 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.
%C The initial terms coincide with those of A170766, 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_07">Index entries for linear recurrences with constant coefficients</a>, signature (45, 45, 45, 45, 45, 45, -1035).
%F G.f.: (t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(1035*t^7 - 45*t^6 - 45*t^5 - 45*t^4 - 45*t^3 - 45*t^2 - 45*t + 1).
%K nonn
%O 0,2
%A _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009
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