%I #8 Jul 30 2022 09:49:13
%S 1,32,992,30752,953312,29552672,916132832,28400117296,880403620800,
%T 27292511768640,846067850066880,26228102894483520,813071175543706560,
%U 25205206002111144000,781361372433389169360,24222202122841326496800
%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)^7 = 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_07">Index entries for linear recurrences with constant coefficients</a>, signature (30, 30, 30, 30, 30, 30, -465).
%F G.f.: (t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(465*t^7 - 30*t^6 - 30*t^5 - 30*t^4 - 30*t^3 - 30*t^2 - 30*t + 1).
%K nonn
%O 0,2
%A _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009
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