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 A167947 #21 Sep 07 2023 18:19:44
%S A167947 1,32,992,30752,953312,29552672,916132832,28400117792,880403651552,
%T A167947 27292513198112,846067909141472,26228105183385632,813071260684954592,
%U A167947 25205209081233592352,781361481518241362912,24222205927065482250272
%N A167947 Number of reduced words of length n in Coxeter group on 32 generators S_i with relations (S_i)^2 = (S_i S_j)^16 = I.
%C A167947 The initial terms coincide with those of A170751, although the two sequences are eventually different.
%C A167947 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167947 G. C. Greubel, <a href="/A167947/b167947.txt">Table of n, a(n) for n = 0..500</a>
%H A167947 <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,-465).
%F A167947 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)/( 465*t^16 - 30*t^15 - 30*t^14 - 30*t^13 - 30*t^12 - 30*t^11 - 30*t^10 - 30*t^9 - 30*t^8 - 30*t^7 - 30*t^6 - 30*t^5 - 30*t^4 - 30*t^3 - 30*t^2 - 30*t + 1).
%F A167947 From _G. C. Greubel_, Sep 07 2023: (Start)
%F A167947 G.f.: (1+t)*(1-t^16)/(1 - 31*t + 495*t^16 - 465*t^17).
%F A167947 a(n) = 30*Sum_{j=1..15} a(n-j) - 465*a(n-16). (End)
%t A167947 coxG[{16,465,-30}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Apr 16 2015 *)
%t A167947 CoefficientList[Series[(1+t)*(1-t^16)/(1-31*t+495*t^16-465*t^17), {t, 0, 50}], t] (* _G. C. Greubel_, Jul 02 2016; Sep 07 2023 *)
%o A167947 (Magma) R<x>:=PowerSeriesRing(Integers(), 40); Coefficients(R!( (1+x)*(1-x^16)/(1-31*x+495*x^16-465*x^17) )); // _G. C. Greubel_, Sep 07 2023
%o A167947 (SageMath)
%o A167947 def A167947_list(prec):
%o A167947 P.<x> = PowerSeriesRing(ZZ, prec)
%o A167947 return P( (1+x)*(1-x^16)/(1-31*x+495*x^16-465*x^17) ).list()
%o A167947 A167947_list(40) # _G. C. Greubel_, Sep 07 2023
%Y A167947 Cf. A154638, A169452, A170751.
%K A167947 nonn
%O A167947 0,2
%A A167947 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009