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 A164671 #12 Feb 11 2025 13:51:23
%S A164671 1,35,1190,40460,1375640,46771760,1590239840,54068153965,
%T A164671 1838317214580,62502784608495,2125094653323180,72253217418556020,
%U A164671 2456609365220213280,83524717499123743920,2839840363745848388310,96554571305730654116385
%N A164671 Number of reduced words of length n in Coxeter group on 35 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.
%C A164671 The initial terms coincide with those of A170754, although the two sequences are eventually different.
%C A164671 Computed with MAGMA using commands similar to those used to compute A154638.
%H A164671 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (33,33,33,33,33,33,-561).
%F A164671 G.f.: (t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(561*t^7 - 33*t^6 - 33*t^5 - 33*t^4 - 33*t^3 - 33*t^2 - 33*t + 1).
%t A164671 coxG[{7,561,-33}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Feb 11 2025 *)
%K A164671 nonn
%O A164671 0,2
%A A164671 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009