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 A167089 #10 Nov 24 2016 10:33:43
%S A167089 1,36,1260,44100,1543500,54022500,1890787500,66177562500,
%T A167089 2316214687500,81067514062500,2837362992187500,99307704726562500,
%U A167089 3475769665429687500,121651938290039061870,4257817840151367143400,149023624405297849247880
%N A167089 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^13 = I.
%C A167089 The initial terms coincide with those of A170755, although the two sequences are eventually different.
%C A167089 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167089 G. C. Greubel, <a href="/A167089/b167089.txt">Table of n, a(n) for n = 0..500</a>
%H A167089 <a href="/index/Rec#order_13">Index entries for linear recurrences with constant coefficients</a>, signature (34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, -595).
%F A167089 G.f.: (t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(595*t^13 - 34*t^12 - 34*t^11 - 34*t^10 - 34*t^9 - 34*t^8 - 34*t^7 - 34*t^6 - 34*t^5 - 34*t^4 - 34*t^3 - 34*t^2 - 34*t + 1).
%t A167089 CoefficientList[Series[(t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(595*t^13 - 34*t^12 - 34*t^11 - 34*t^10 - 34*t^9 - 34*t^8 - 34*t^7 - 34*t^6 - 34*t^5 - 34*t^4 - 34*t^3 - 34*t^2 - 34*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, Jun 01 2016 *)
%K A167089 nonn
%O A167089 0,2
%A A167089 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009