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 A083325 #18 Sep 08 2022 08:45:10
%S A083325 1,4,18,88,450,2344,12258,63928,331650,1710664,8776098,44810968,
%T A083325 227894850,1155188584,5839863138,29458185208,148335970050,
%U A083325 745888724104,3746365209378,18799770682648,94271406797250,472449572045224,2366624986030818,11850654354079288
%N A083325 a(n) = 5^n - 4^n + 3^n.
%C A083325 Binomial transform of A083324.
%H A083325 Vincenzo Librandi, <a href="/A083325/b083325.txt">Table of n, a(n) for n = 0..1000</a>
%H A083325 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (12,-47,60).
%F A083325 a(n) = 5^n - 4^n + 3^n.
%F A083325 G.f.: (1 - 8*x + 17*x^2)/((1 - 3*x)(1 - 4*x)(1 - 5*x)).
%F A083325 E.g.f.: exp(5x) - exp(4x) + exp(3x).
%e A083325 a(2) = 5^2 - 4^2 + 3^2 = 25 - 16 + 9 = 18.
%e A083325 a(3) = 5^3 - 4^3 + 3^3 = 125 - 64 + 27 = 88.
%t A083325 Table[5^n - 4^n + 3^n, {n, 0, 29}] (* _Alonso del Arte_, Oct 17 2018 *)
%o A083325 (Magma) [5^n - 4^n + 3^n: n in [0..30]]; // _Vincenzo Librandi_, Oct 23 2018
%K A083325 easy,nonn
%O A083325 0,2
%A A083325 _Paul Barry_, Apr 27 2003