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 A167126 #12 Aug 03 2025 19:17:01
%S A167126 1,19,342,6156,110808,1994544,35901792,646232256,11632180608,
%T A167126 209379250944,3768826516992,67838877305856,1221099791505408,
%U A167126 21979796247097344,395636332447752021,7121453984059533300
%N A167126 Number of reduced words of length n in Coxeter group on 19 generators S_i with relations (S_i)^2 = (S_i S_j)^14 = I.
%C A167126 The initial terms coincide with those of A170738, although the two sequences are eventually different.
%C A167126 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167126 G. C. Greubel, <a href="/A167126/b167126.txt">Table of n, a(n) for n = 0..500</a>
%H A167126 <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, -153).
%F A167126 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)/(153*t^14 - 17*t^13 - 17*t^12 - 17*t^11 - 17*t^10 - 17*t^9 - 17*t^8 - 17*t^7 - 17*t^6 - 17*t^5 - 17*t^4 - 17*t^3 - 17*t^2 - 17*t + 1).
%t A167126 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)/ (153*t^14 - 17*t^13 - 17*t^12 - 17*t^11 - 17*t^10 - 17*t^9 - 17*t^8 - 17*t^7 - 17*t^6 - 17*t^5 - 17*t^4 - 17*t^3 - 17*t^2 - 17*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, Jun 04 2016 *)
%t A167126 coxG[{14,153,-17}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Aug 03 2025 *)
%K A167126 nonn
%O A167126 0,2
%A A167126 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009