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 A166717 #10 Nov 24 2016 09:46:11
%S A166717 1,43,1806,75852,3185784,133802928,5619722976,236028364992,
%T A166717 9913191329664,416354035845888,17486869505527296,734448519232146432,
%U A166717 30846837807750149241,1295567187925506230196,54413821892871260076243
%N A166717 Number of reduced words of length n in Coxeter group on 43 generators S_i with relations (S_i)^2 = (S_i S_j)^12 = I.
%C A166717 The initial terms coincide with those of A170762, although the two sequences are eventually different.
%C A166717 Computed with MAGMA using commands similar to those used to compute A154638.
%H A166717 G. C. Greubel, <a href="/A166717/b166717.txt">Table of n, a(n) for n = 0..500</a>
%H A166717 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, -861).
%F A166717 G.f.: (t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(861*t^12 - 41*t^11 - 41*t^10 - 41*t^9 -41*t^8 -41*t^7 -41*t^6 - 41*t^5 - 41*t^4 - 41*t^3 - 41*t^2 - 41*t + 1).
%t A166717 CoefficientList[Series[(t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(861*t^12 - 41*t^11 - 41*t^10 - 41*t^9 - 41*t^8 - 41*t^7 - 41*t^6 - 41*t^5 - 41*t^4 - 41*t^3 - 41*t^2 - 41*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, May 24 2016 *)
%K A166717 nonn
%O A166717 0,2
%A A166717 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009