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 A167673 #11 Dec 22 2024 18:38:58
%S A167673 1,17,272,4352,69632,1114112,17825792,285212672,4563402752,
%T A167673 73014444032,1168231104512,18691697672192,299067162755072,
%U A167673 4785074604081152,76561193665298432,1224979098644774776,19599665578316394240
%N A167673 Number of reduced words of length n in Coxeter group on 17 generators S_i with relations (S_i)^2 = (S_i S_j)^15 = I.
%C A167673 The initial terms coincide with those of A170736, although the two sequences are eventually different.
%C A167673 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167673 G. C. Greubel, <a href="/A167673/b167673.txt">Table of n, a(n) for n = 0..500</a>
%H A167673 <a href="/index/Rec#order_15">Index entries for linear recurrences with constant coefficients</a>, signature (15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, -120).
%F A167673 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)/(120*t^15 - 15*t^14 - 15*t^13 - 15*t^12 - 15*t^11 - 15*t^10 - 15*t^9 - 15*t^8 - 15*t^7 - 15*t^6 - 15*t^5 - 15*t^4 - 15*t^3 - 15*t^2 - 15*t + 1).
%t A167673 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)/(120*t^15 - 15*t^14 - 15*t^13 - 15*t^12 - 15*t^11 - 15*t^10 - 15*t^9 - 15*t^8 - 15*t^7 - 15*t^6 - 15*t^5 - 15*t^4 - 15*t^3 - 15*t^2 - 15*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, Jun 19 2016 *)
%t A167673 coxG[{15,120,-15}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Dec 22 2024 *)
%K A167673 nonn
%O A167673 0,2
%A A167673 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009