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 A164673 #12 Feb 22 2024 20:31:40
%S A164673 1,37,1332,47952,1726272,62145792,2237248512,80540945766,
%T A164673 2899474023600,104381063987130,3757718272487760,135277856691798240,
%U A164673 4870002800665336320,175320099375333696000,6311523525361750684170
%N A164673 Number of reduced words of length n in Coxeter group on 37 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.
%C A164673 The initial terms coincide with those of A170756, although the two sequences are eventually different.
%C A164673 Computed with MAGMA using commands similar to those used to compute A154638.
%H A164673 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (35,35,35,35,35,35,-630).
%F A164673 G.f.: (t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(630*t^7 - 35*t^6 - 35*t^5 - 35*t^4 - 35*t^3 - 35*t^2 - 35*t + 1).
%t A164673 coxG[{7,630,-35}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Aug 15 2020 *)
%K A164673 nonn
%O A164673 0,2
%A A164673 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009