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A286939
Fixed point of the mapping 00->001, 1->000, starting with 00.
7
0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0
OFFSET
1
LINKS
EXAMPLE
Iterates, starting with 00:
00
001
001000
0010000010
00100000100100000
00100000100100000010000010010
MATHEMATICA
s = {0, 0}; w[0] = StringJoin[Map[ToString, s]];
w[n_] := StringReplace[w[n - 1], {"00" -> "001", "1" -> "000"}]
Table[w[n], {n, 0, 8}]
st = ToCharacterCode[w[11]] - 48 (* A286939 *)
Flatten[Position[st, 0]] (* A285432 *)
Flatten[Position[st, 1]] (* A285564 *)
Table[StringLength[w[n]], {n, 1, 35}] (* A285665 conjectured *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jun 04 2017
STATUS
approved