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 A167405 #12 Nov 24 2016 10:52:15
%S A167405 1,35,1190,40460,1375640,46771760,1590239840,54068154560,
%T A167405 1838317255040,62502786671360,2125094746826240,72253221392092160,
%U A167405 2456609527331133440,83524723929258536960,2839840613594790256045,96554580862222868685300
%N A167405 Number of reduced words of length n in Coxeter group on 35 generators S_i with relations (S_i)^2 = (S_i S_j)^14 = I.
%C A167405 The initial terms coincide with those of A170754, although the two sequences are eventually different.
%C A167405 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167405 G. C. Greubel, <a href="/A167405/b167405.txt">Table of n, a(n) for n = 0..500</a>
%H A167405 <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, -561).
%F A167405 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)/(561*t^14 - 33*t^13 - 33*t^12 - 33*t^11 - 33*t^10 - 33*t^9 - 33*t^8 - 33*t^7 - 33*t^6 - 33*t^5 - 33*t^4 - 33*t^3 - 33*t^2 - 33*t + 1).
%t A167405 coxG[{14,561,-33}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Oct 21 2014 *)
%t A167405 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)/ (561*t^14 - 33*t^13 - 33*t^12 - 33*t^11 - 33*t^10 - 33*t^9 - 33*t^8 - 33*t^7 - 33*t^6 - 33*t^5 - 33*t^4 - 33*t^3 - 33*t^2 - 33*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, Jun 12 2016 *)
%K A167405 nonn
%O A167405 0,2
%A A167405 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009