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 A167110 #12 Nov 24 2016 10:43:59 %S A167110 1,9,72,576,4608,36864,294912,2359296,18874368,150994944,1207959552, %T A167110 9663676416,77309411328,618475290624,4947802324956,39582418599360, %U A167110 316659348792612,2533274790322752,20266198322436864,162129586578333696 %N A167110 Number of reduced words of length n in Coxeter group on 9 generators S_i with relations (S_i)^2 = (S_i S_j)^14 = I. %C A167110 The initial terms coincide with those of A003951, although the two sequences are eventually different. %C A167110 Computed with MAGMA using commands similar to those used to compute A154638. %H A167110 G. C. Greubel, <a href="/A167110/b167110.txt">Table of n, a(n) for n = 0..500</a> %H A167110 <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, -28). %F A167110 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)/(28*t^14 - 7*t^13 - 7*t^12 - 7*t^11 - 7*t^10 - 7*t^9 - 7*t^8 - 7*t^7 - 7*t^6 - 7*t^5 - 7*t^4 - 7*t^3 - 7*t^2 - 7*t + 1). %t A167110 coxG[{14,28,-7}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Sep 03 2015 *) %t A167110 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)/ (28*t^14 - 7*t^13 - 7*t^12 - 7*t^11 - 7*t^10 - 7*t^9 - 7*t^8 - 7*t^7 - 7*t^6 - 7*t^5 - 7*t^4 - 7*t^3 - 7*t^2 - 7*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, Jun 03 2016 *) %K A167110 nonn %O A167110 0,2 %A A167110 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009