%I #8 Feb 13 2017 18:02:03
%S 1,25,600,14400,345600,8294400,199065600,4777574400,114661785300,
%T 2751882840000,66045187987500,1585084507560000,38042028082080000,
%U 913008671585280000,21912208060815360000,525892992086016000000
%N Number of reduced words of length n in Coxeter group on 25 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
%C The initial terms coincide with those of A170744, 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 (23, 23, 23, 23, 23, 23, 23, -276).
%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)/(276*t^8 -
%F 23*t^7 - 23*t^6 - 23*t^5 - 23*t^4 - 23*t^3 - 23*t^2 - 23*t + 1)
%t coxG[{8,276,-23}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Feb 13 2017 *)
%K nonn
%O 0,2
%A _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009