OFFSET
1,2
COMMENTS
Conjecture: a(n)/n-> 2.22..., and if m denotes this number, then -2 < m - a(n)/n < 2 for n >= 1.
LINKS
Clark Kimberling, Table of n, a(n) for n = 1..10000
MATHEMATICA
s = {0, 0}; w[0] = StringJoin[Map[ToString, s]];
w[n_] := StringReplace[w[n - 1], {"00" -> "001", "1" -> "110"}]
Table[w[n], {n, 0, 8}]
st = ToCharacterCode[w[11]] - 48 (* A287125 *)
Flatten[Position[st, 0]] (* A287126 *)
Flatten[Position[st, 1]] (* A287127 *)
Table[StringLength[w[n]], {n, 1, 35}] (* A287128 conjectured *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jun 06 2017
STATUS
approved