This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A164741 #13 Feb 23 2024 04:20:47
%S A164741 1,6,30,150,750,3750,18750,93750,468735,2343600,11717640,58586400,
%T A164741 292923000,1464570000,7322625000,36612000000,183054375210,
%U A164741 915243753000,4576078154040,22879687737000,114394923627000,571957043385000
%N A164741 Number of reduced words of length n in Coxeter group on 6 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
%C A164741 The initial terms coincide with those of A003948, although the two sequences are eventually different.
%C A164741 Computed with MAGMA using commands similar to those used to compute A154638.
%H A164741 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (4, 4, 4, 4, 4, 4, 4, -10).
%F A164741 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)/(10*t^8 - 4*t^7 - 4*t^6 - 4*t^5 - 4*t^4 - 4*t^3 - 4*t^2 - 4*t + 1).
%t A164741 With[{num=Total[2t^Range[7]]+t^8+1, den=Total[-4 t^Range[7]]+10t^8+1}, CoefficientList[Series[num/den,{t,0,25}],t]] (* _Harvey P. Dale_, Jul 14 2011 *)
%K A164741 nonn
%O A164741 0,2
%A A164741 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009