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 A164085 #11 Feb 22 2024 13:33:46
%S A164085 1,40,1560,60840,2372760,92537640,3608967180,140749689600,
%T A164085 5489236708800,214080185404800,8349125427489600,325615821343488000,
%U A164085 12699014289580990020,495261450323895092760,19315192390812032456040
%N A164085 Number of reduced words of length n in Coxeter group on 40 generators S_i with relations (S_i)^2 = (S_i S_j)^6 = I.
%C A164085 The initial terms coincide with those of A170759, although the two sequences are eventually different.
%C A164085 Computed with MAGMA using commands similar to those used to compute A154638.
%H A164085 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (38,38,38,38,38,-741).
%F A164085 G.f.: (t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(741*t^6 - 38*t^5 - 38*t^4 - 38*t^3 - 38*t^2 - 38*t + 1).
%t A164085 coxG[{6,741,-38}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, May 23 2021 *)
%K A164085 nonn
%O A164085 0,2
%A A164085 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009