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 A288553 #8 Mar 12 2025 07:40:37
%S A288553 3,4,7,8,11,12,14,15,18,19,21,22,25,26,29,30,33,34,36,37,40,41,43,44,
%T A288553 47,48,51,52,55,56,58,59,62,63,65,66,68,70,72,73,75,76,79,80,82,83,86,
%U A288553 87,90,91,94,95,97,98,101,102,104,105,107,109,111,112,114
%N A288553 Positions of 1 in A288551; complement of A288552.
%C A288553 Conjecture: a(n)/n -> 1.74..., and if m denotes this number, then -2 < m - a(n)/n < 1 for n >= 1.
%H A288553 Clark Kimberling, <a href="/A288553/b288553.txt">Table of n, a(n) for n = 1..10000</a>
%t A288553 s = {0, 0}; w[0] = StringJoin[Map[ToString, s]];
%t A288553 w[n_] := StringReplace[w[n - 1], {"00" -> "0101", "1" -> "011"}]
%t A288553 Table[w[n], {n, 0, 8}]
%t A288553 st = ToCharacterCode[w[10]] - 48 (* A288551 *)
%t A288553 Flatten[Position[st, 0]] (* A288552 *)
%t A288553 Flatten[Position[st, 1]] (* A288553 *)
%Y A288553 Cf. A288551, A288552, A288276.
%K A288553 nonn,easy
%O A288553 1,1
%A A288553 _Clark Kimberling_, Jun 14 2017