A165176 - OEIS

%I #8 May 27 2019 11:35:44

%S 1,44,1892,81356,3498308,150427244,6468371492,278139974156,

%T 11960018887762,514280812133088,22114074919974576,950905221483733824,

%U 40888924520568117840,1758223754245434293664,75603621426576899368944

%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)^8 = 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_08">Index entries for linear recurrences with constant coefficients</a>, signature (42, 42, 42, 42, 42, 42, 42, -903).

%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)/(903*t^8 -

%F 42*t^7 - 42*t^6 - 42*t^5 - 42*t^4 - 42*t^3 - 42*t^2 - 42*t + 1)

%t coxG[{8,903,-42}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, May 27 2019 *)

%K nonn

%O 0,2

%A _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009