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 A117617 #24 Jun 14 2024 12:19:51
%S A117617 1,8,43,218,1093,5468,27343,136718,683593,3417968,17089843,85449218,
%T A117617 427246093,2136230468,10681152343,53405761718,267028808593,
%U A117617 1335144042968,6675720214843,33378601074218,166893005371093
%N A117617 a(n) = 5*a(n-1) + 3 with a(0) = 1.
%H A117617 Vincenzo Librandi, <a href="/A117617/b117617.txt">Table of n, a(n) for n = 0..1000</a>
%H A117617 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (6, -5).
%F A117617 G.f.: (1+2*x)/((1-x)*(1-5*x)). - _Philippe Deléham_, Feb 22 2014
%F A117617 a(n) = 6*a(n-1) - 5*a(n-2), a(0) = 1, a(1) = 8. - _Philippe Deléham_, Feb 22 2014
%e A117617 If n=1 then a(1) = 5*a(0) + 3 = 5*1 + 3 = 8 which is the second term.
%t A117617 a[0] := 1; a[n_] := 5*a[n - 1] + 3; Table[a[n], {n, 0, 35}] (* _Stefan Steinerberger_, Apr 08 2006 *)
%t A117617 NestList[5#+3&,1,20] (* _Harvey P. Dale_, Jun 14 2024 *)
%Y A117617 Cf. A116952.
%K A117617 nonn
%O A117617 0,2
%A A117617 _Parthasarathy Nambi_, Apr 07 2006
%E A117617 More terms from _Stefan Steinerberger_, Apr 08 2006