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 A167117 #12 May 23 2017 09:20:58
%S A167117 1,16,240,3600,54000,810000,12150000,182250000,2733750000,41006250000,
%T A167117 615093750000,9226406250000,138396093750000,2075941406250000,
%U A167117 31139121093749880,467086816406246400,7006302246093669120
%N A167117 Number of reduced words of length n in Coxeter group on 16 generators S_i with relations (S_i)^2 = (S_i S_j)^14 = I.
%C A167117 The initial terms coincide with those of A170735, although the two sequences are eventually different.
%C A167117 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167117 G. C. Greubel, <a href="/A167117/b167117.txt">Table of n, a(n) for n = 0..500</a>
%H A167117 <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, -105).
%F A167117 G.f.: (t^14 + 2*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)/(105*t^14 - 14*t^13 - 14*t^12 - 14*t^11 - 14*t^10 - 14*t^9 - 14*t^8 - 14*t^7 - 14*t^6 - 14*t^5 - 14*t^4 - 14*t^3 - 14*t^2 - 14*t + 1).
%t A167117 CoefficientList[Series[(t^14 + 2*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)/ (105*t^14 - 14*t^13 - 14*t^12 - 14*t^11 - 14*t^10 - 14*t^9 - 14*t^8 - 14*t^7 - 14*t^6 - 14*t^5 - 14*t^4 - 14*t^3 - 14*t^2 - 14*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, Jun 04 2016 *)
%t A167117 coxG[{14,105,-14}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, May 23 2017 *)
%K A167117 nonn
%O A167117 0,2
%A A167117 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009