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 A167862 #14 Aug 03 2025 06:53:45
%S A167862 1,47,2162,99452,4574792,210440432,9680259872,445291954112,
%T A167862 20483429889152,942237774900992,43342937645445632,1993775131690499072,
%U A167862 91713656057762957312,4218828178657096036352,194066096218226417672192,8927040426038415212919751,410643859597767099794258820
%N A167862 Number of reduced words of length n in Coxeter group on 47 generators S_i with relations (S_i)^2 = (S_i S_j)^15 = I.
%C A167862 The initial terms coincide with those of A170766, although the two sequences are eventually different.
%C A167862 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167862 G. C. Greubel, <a href="/A167862/b167862.txt">Table of n, a(n) for n = 0..500</a>
%H A167862 <a href="/index/Rec#order_15">Index entries for linear recurrences with constant coefficients</a>, signature (45,45,45,45,45,45,45,45,45,45,45,45,45,45,-1035).
%F A167862 G.f.: (t^15 + 2*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)/(1035*t^15 - 45*t^14 - 45*t^13 - 45*t^12 - 45*t^11 - 45*t^10 - 45*t^9 - 45*t^8 - 45*t^7 - 45*t^6 - 45*t^5 - 45*t^4 - 45*t^3 - 45*t^2 - 45*t + 1).
%t A167862 CoefficientList[Series[(t^15 + 2*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)/(1035*t^15 - 45*t^14 - 45*t^13 - 45*t^12 - 45*t^11 - 45*t^10 - 45*t^9 - 45*t^8 - 45*t^7 - 45*t^6 - 45*t^5 - 45*t^4 - 45*t^3 - 45*t^2 - 45*t + 1), {t, 0, 20}], t] (* _G. C. Greubel_, Jun 28 2016 *)
%K A167862 nonn,easy
%O A167862 0,2
%A A167862 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009