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%I #10 Feb 25 2024 09:09:30
%S 1,44,1892,81356,3498308,150427244,6468371492,278139973210,
%T 11960018807352,514280806967928,22114074624447960,950905205618825688,
%U 40888923702614731128,1758223713235658179896,75603619412131966509354
%N Number of reduced words of length n in Coxeter group on 44 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.
%C The initial terms coincide with those of A170763, 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 (42, 42, 42, 42, 42, 42, -903).
%F G.f.: (t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(903*t^7 - 42*t^6 - 42*t^5 - 42*t^4 - 42*t^3 - 42*t^2 - 42*t + 1).
%K nonn
%O 0,2
%A _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009