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 A167950 #17 Sep 06 2023 18:22:33
%S A167950 1,34,1122,37026,1221858,40321314,1330603362,43909910946,
%T A167950 1449027061218,47817893020194,1577990469666402,52073685498991266,
%U A167950 1718431621466711778,56708243508401488674,1871372035777249126242,61755277180649221165986
%N A167950 Number of reduced words of length n in Coxeter group on 34 generators S_i with relations (S_i)^2 = (S_i S_j)^16 = I.
%C A167950 The initial terms coincide with those of A170753, although the two sequences are eventually different.
%C A167950 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167950 G. C. Greubel, <a href="/A167950/b167950.txt">Table of n, a(n) for n = 0..500</a>
%H A167950 <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,-528).
%F A167950 G.f.: (t^16 + 2*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)/( 528*t^16 - 32*t^15 - 32*t^14 - 32*t^13 - 32*t^12 - 32*t^11 - 32*t^10 - 32*t^9 - 32*t^8 - 32*t^7 - 32*t^6 - 32*t^5 - 32*t^4 - 32*t^3 - 32*t^2 - 32*t + 1).
%F A167950 From _G. C. Greubel_, Sep 06 2023: (Start)
%F A167950 G.f.: (1+t)*(1-t^16)/(1 - 33*t + 560*t^16 - 528*t^17).
%F A167950 a(n) = 32*Sum_{j=1..15} a(n-j) - 528*a(n-16). (End)
%t A167950 coxG[{16,528,-32}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, May 24 2015 *)
%t A167950 CoefficientList[Series[(1+t)*(1-t^16)/(1-33*t+560*t^16-528*t^17), {t, 0, 50}], t] (* _G. C. Greubel_, Jul 02 2016; Sep 06 2023 *)
%o A167950 (Magma) R<x>:=PowerSeriesRing(Integers(), 40); Coefficients(R!( (1+x)*(1-x^16)/(1-33*x+560*x^16-528*x^17) )); // _G. C. Greubel_, Sep 06 2023
%o A167950 (SageMath)
%o A167950 def A167955_list(prec):
%o A167950 P.<x> = PowerSeriesRing(ZZ, prec)
%o A167950 return P( (1+x)*(1-x^16)/(1-33*x+560*x^16-528*x^17) ).list()
%o A167950 A167955_list(40) # _G. C. Greubel_, Sep 06 2023
%Y A167950 Cf. A154638, A169452, A170753.
%K A167950 nonn
%O A167950 0,2
%A A167950 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009