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 A155626 #23 Oct 11 2023 16:19:05
%S A155626 1,2,10,62,370,2102,11530,61742,325090,1690982,8717050,44633822,
%T A155626 227363410,1153594262,5835080170,29443836302,148292923330,
%U A155626 745759583942,3745977788890,18798608421182,94267920012850,472439111692022
%N A155626 a(n) = 5^n-4^n+1.
%H A155626 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (10,-29,20).
%F A155626 G.f.: 1/(1-5*x)-1/(1-4*x)+1/(1-x).
%F A155626 E.g.f.: e^(5*x)-e^(4*x)+e^x.
%F A155626 a(n) = 9*a(n-1)-20*a(n-2)+12 with a(0)=1, a(1)=2. - _Vincenzo Librandi_, Jul 21 2010
%F A155626 a(n) = 10*a(n-1)-29*a(n-2)+20*a(n-3). - _Wesley Ivan Hurt_, Jun 07 2021
%t A155626 Table[5^n-4^n+1,{n,0,40}] (* _Vladimir Joseph Stephan Orlovsky_, Feb 15 2011*)
%t A155626 LinearRecurrence[{10,-29,20},{1,2,10},30] (* _Harvey P. Dale_, Oct 11 2023 *)
%o A155626 (PARI) a(n)=5^n-4^n+1 \\ _Charles R Greathouse IV_, Jun 11 2015
%Y A155626 Cf. A054401, which is essentially a(n) - 2. Also A155588, A155589, A155590, A155592, A155593, A155594, A155595, A155596, A155597, A155598, A155599, A155600, A155601, A155622, A155623, A155624, A155625.
%K A155626 nonn,easy
%O A155626 0,2
%A A155626 _Mohammad K. Azarian_, Jan 29 2009