OFFSET
1
COMMENTS
Iterates, starting with 00:
00
0101
01100110
011011001011101100
011011001101100101110011011011001101100101
Conjecture: the number of letters (0's and 1's) in the n-th iterate is given by A182780(n).
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" -> "0101", "1" -> "110"}]
Table[w[n], {n, 0, 8}]
st = ToCharacterCode[w[11]] - 48 (* A288478 *)
Flatten[Position[st, 0]] (* A288479 *)
Flatten[Position[st, 1]] (* A288480 *)
Table[StringLength[w[n]], {n, 1, 35}] (* A182780 conjectured *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jun 12 2017
STATUS
approved