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 A166689 #10 Nov 24 2016 09:44:26 %S A166689 1,37,1332,47952,1726272,62145792,2237248512,80540946432, %T A166689 2899474071552,104381066575872,3757718396731392,135277862282330112, %U A166689 4870003042163883366,175320109517899777200,6311523942644391116730 %N A166689 Number of reduced words of length n in Coxeter group on 37 generators S_i with relations (S_i)^2 = (S_i S_j)^12 = I. %C A166689 The initial terms coincide with those of A170756, although the two sequences are eventually different. %C A166689 Computed with MAGMA using commands similar to those used to compute A154638. %H A166689 G. C. Greubel, <a href="/A166689/b166689.txt">Table of n, a(n) for n = 0..500</a> %H A166689 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, -630). %F A166689 G.f.: (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)/(630*t^12 - 35*t^11 - 35*t^10 - 35*t^9 -35*t^8 -35*t^7 -35*t^6 - 35*t^5 - 35*t^4 - 35*t^3 - 35*t^2 - 35*t + 1). %t A166689 CoefficientList[Series[(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)/(630*t^12 - 35*t^11 - 35*t^10 - 35*t^9 - 35*t^8 - 35*t^7 - 35*t^6 - 35*t^5 - 35*t^4 - 35*t^3 - 35*t^2 - 35*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, May 23 2016 *) %K A166689 nonn %O A166689 0,2 %A A166689 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009