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A288622
0-limiting word of the mapping 00->0110, 1->01, starting with 00.
4
0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0
OFFSET
1
COMMENTS
Iterates, starting with 00:
00
0110
001010
0110010010
001010110010110010
01100100100101011001001010110010
0010101100101100101100100100101011001011001001001010110010
Conjecture: the number of letters (0's and 1's) in the n-th iterate is given by A288465(n).
LINKS
MATHEMATICA
s = {0, 0}; w[0] = StringJoin[Map[ToString, s]];
w[n_] := StringReplace[w[n - 1], {"00" -> "0110", "1" -> "01"}]
Table[w[n], {n, 0, 8}]
st = ToCharacterCode[w[10]] - 48 (* A288622 *)
Flatten[Position[st, 0]] (* A288623 *)
Flatten[Position[st, 1]] (* A288624 *)
Table[StringLength[w[n]], {n, 1, 35}] (* A288465 conjectured *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jun 14 2017
STATUS
approved