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 A120969 #25 Feb 28 2025 11:45:18
%S A120969 0,10,32,122,576,2922,14944,75994,384128,1933514,9706656,48651066,
%T A120969 243609280,1219108906,6098732768,30503229338,152544844032,
%U A120969 762810313098,3814309845280,19072324066810,95363944856384,476826697850090
%N A120969 a(n) = 8n+5^n-3^n.
%H A120969 Vincenzo Librandi, <a href="/A120969/b120969.txt">Table of n, a(n) for n = 0..1000</a>
%H A120969 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (10,-32,38,-15).
%F A120969 G.f.: 2*x*(5-34*x+61*x^2)/((1-x)^2*(1-5*x)*(1-3*x)). - _Vincenzo Librandi_, Feb 23 2013
%t A120969 CoefficientList[Series[2 x (5 - 34 x + 61 x^2)/((1-x)^2(1-5x)(1-3x)), {x, 0, 30}], x] (* _Vincenzo Librandi_, Feb 23 2013 *)
%o A120969 (Magma) [8*n+5^n-3^n: n in [0..30]]; // _Vincenzo Librandi_, Feb 25 2013
%o A120969 (Magma) I:=[0,10,32,122]; [n le 4 select I[n] else 10*Self(n-1)-32*Self(n-2)+38*Self(n-3)-15*Self(n-4): n in [1..30]]; // _Vincenzo Librandi_, Feb 25 2013
%Y A120969 Cf. A074606, A005058.
%K A120969 nonn,easy
%O A120969 0,2
%A A120969 _Mohammad K. Azarian_, Aug 19 2006
%E A120969 Edited by _Ray Chandler_, Sep 06 2006