OFFSET
1,1
COMMENTS
Conjecture: a(n)/n -> 4.56... and if m denotes this number, then -1 < m - a(n)/n < 2 for n >= 1.
LINKS
Clark Kimberling, Table of n, a(n) for n = 1..10000
MATHEMATICA
z = 10; (* number of iterates *)
s = {0, 0}; w[0] = StringJoin[Map[ToString, s]];
w[n_] := StringReplace[w[n - 1], {"00" -> "0010", "01" -> "001", "10" -> "000"}]
TableForm[Table[w[n], {n, 0, 10}]]
st = ToCharacterCode[w[z]] - 48 (* A288991 *)
Flatten[Position[st, 0]] (* A288992 *)
Flatten[Position[st, 1]] (* A288993 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jun 25 2017
STATUS
approved