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 A165166 #8 Apr 15 2024 20:30:50
%S A165166 1,34,1122,37026,1221858,40321314,1330603362,43909910946,
%T A165166 1449027060657,47817892983168,1577990467834176,52073685418385664,
%U A165166 1718431618142036160,56708243376752398464,1871372030708980920384,61755276989509378818048
%N A165166 Number of reduced words of length n in Coxeter group on 34 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
%C A165166 The initial terms coincide with those of A170753, although the two sequences are eventually different.
%C A165166 Computed with MAGMA using commands similar to those used to compute A154638.
%H A165166 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (32, 32, 32, 32, 32, 32, 32, -528).
%F A165166 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)/(528*t^8 -
%F A165166 32*t^7 - 32*t^6 - 32*t^5 - 32*t^4 - 32*t^3 - 32*t^2 - 32*t + 1)
%t A165166 coxG[{8,528,-32}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Apr 15 2024 *)
%K A165166 nonn
%O A165166 0,2
%A A165166 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009