%I #6 Aug 03 2022 07:25:38
%S 1,2,4,5,8,11,15,20,26,33,41,50,60,71,83,96,110,125,141,158,176,195,
%T 215,236,258,281,305,330,356,383,411,440,470,501,533,566,600,635,671,
%U 708,746,785,825,866,908,951,995,1040,1086,1133,1181,1230,1280,1331
%N Positions of 0 in A288936; complement of A288938.
%C The sequence (a(n)/n) diverges.
%H Clark Kimberling, <a href="/A288937/b288937.txt">Table of n, a(n) for n = 1..1000</a>
%t z = 11; (* number of iterates *)
%t s = {0, 0}; w[0] = StringJoin[Map[ToString, s]];
%t w[n_] := StringReplace[w[n - 1], {"00" -> "0010", "01" -> "011", "10" -> "011"}]
%t TableForm[Table[w[n], {n, 0, 10}]]
%t st = ToCharacterCode[w[z]] - 48 (* A288936 *)
%t Flatten[Position[st, 0]] (* A288937 *)
%t Flatten[Position[st, 1]] (* A288938 *)
%Y Cf. A167499, A288936, A288938.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_, Jun 28 2017