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A288375
Fixed point of the mapping 00->1000, 10->1001, starting at 00.
4
1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1
OFFSET
1
COMMENTS
The first 5 iterates of the mapping:
00
1000
10011000
100010110011000
100101001110010110011000
No iterate is an initial subword of its successor.
LINKS
MATHEMATICA
s = {0, 0}; w[0] = StringJoin[Map[ToString, s]];
w[n_] := StringReplace[w[n - 1], {"00" -> "1000", "10" -> "1001"}]
TableForm[Table[w[n], {n, 0, 10}]]
st = ToCharacterCode[w[24]] - 48; (* A288375 *)
p0 = Flatten[Position[st, 0]]; (* A288625 *)
p1 = Flatten[Position[st, 1]]; (* A283794 *)
Table[StringLength[w[n]], {n, 0, 30}] (* A019274 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jun 24 2017
EXTENSIONS
Definition corrected by Georg Fischer, Jul 18 2019
STATUS
approved