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A288372
Fixed point of the mapping 00->0001, 1->01, starting with 00.
3
0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1
OFFSET
1
LINKS
EXAMPLE
Iterates, starting with 00:
00
0001
0001001
0001001000101
00010010001010001001001
000100100010100010010010001001000101000101
MATHEMATICA
s = {0, 0}; w[0] = StringJoin[Map[ToString, s]];
w[n_] := StringReplace[w[n - 1], {"00" -> "0001", "1" -> "01"}]
Table[w[n], {n, 0, 8}]
st = ToCharacterCode[w[11]] - 48 (* A288372 *)
Flatten[Position[st, 0]] (* A288373 *)
Flatten[Position[st, 1]] (* A288374 *)
Table[StringLength[w[n]], {n, 1, 35}] (* A287381 conjectured *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jun 09 2017
STATUS
approved