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 A199552 #17 Sep 08 2022 08:46:00
%S A199552 5,33,257,2049,16385,131073,1048577,8388609,67108865,536870913,
%T A199552 4294967297,34359738369,274877906945,2199023255553,17592186044417,
%U A199552 140737488355329,1125899906842625,9007199254740993,72057594037927937
%N A199552 4*8^n+1.
%C A199552 An Engel expansion of 2 to the base 8 as defined in A181565, with the associated series expansion 2 = 8/5 + 8^2/(5*33) + 8^3/(5*33*257) + 8^4/(5*33*257*2049) + .... Cf. A087289 and A199493. - _Peter Bala_, Oct 29 2013
%H A199552 Vincenzo Librandi, <a href="/A199552/b199552.txt">Table of n, a(n) for n = 0..1000</a>
%H A199552 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (9,-8).
%F A199552 a(n) = 8*a(n-1)-7.
%F A199552 a(n) = 9*a(n-1)-8*a(n-2).
%F A199552 G.f.: (5-12*x)/((1-x)*(1-8*x)).
%t A199552 4*8^Range[0,20]+1 (* or *) LinearRecurrence[{9,-8},{5,33},20] (* _Harvey P. Dale_, Mar 18 2018 *)
%o A199552 (Magma) [4*8^n+1: n in [0..30]];
%Y A199552 A087289, A199493.
%K A199552 nonn,easy
%O A199552 0,1
%A A199552 _Vincenzo Librandi_, Nov 08 2011