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 A164637 #12 Feb 22 2024 14:37:50
%S A164637 1,24,552,12696,292008,6716184,154472232,3552861060,81715798032,
%T A164637 1879463209008,43227650455440,994235883385008,22867423544782608,
%U A164637 525950700749330736,12096865179279290124,278227877550453062232
%N A164637 Number of reduced words of length n in Coxeter group on 24 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.
%C A164637 The initial terms coincide with those of A170743, although the two sequences are eventually different.
%C A164637 Computed with MAGMA using commands similar to those used to compute A154638.
%H A164637 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (22,22,22,22,22,22,-253).
%F A164637 G.f.: (t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(253*t^7 - 22*t^6 - 22*t^5 - 22*t^4 - 22*t^3 - 22*t^2 - 22*t + 1).
%t A164637 coxG[{7,253,-22}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Jan 05 2022 *)
%K A164637 nonn
%O A164637 0,2
%A A164637 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009