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 A165174 #6 Nov 23 2016 18:35:43 %S A165174 1,42,1722,70602,2894682,118681962,4865960442,199504378122, %T A165174 8179679502141,335366859552480,13750041240205200,563751690789107520, %U A165174 23113819319921875440,947666592017104044960,38854330268613859072080 %N A165174 Number of reduced words of length n in Coxeter group on 42 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I. %C A165174 The initial terms coincide with those of A170761, although the two sequences are eventually different. %C A165174 Computed with MAGMA using commands similar to those used to compute A154638. %H A165174 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (40, 40, 40, 40, 40, 40, 40, -820). %F A165174 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)/(820*t^8 - %F A165174 40*t^7 - 40*t^6 - 40*t^5 - 40*t^4 - 40*t^3 - 40*t^2 - 40*t + 1) %K A165174 nonn %O A165174 0,2 %A A165174 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009