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A288375
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Fixed point of the mapping 00->1000, 10->1001, starting at 00.
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4
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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
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1
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COMMENTS
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The first 5 iterates of the mapping:
00
1000
10011000
100010110011000
100101001110010110011000
No iterate is an initial subword of its successor.
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LINKS
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MATHEMATICA
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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 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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