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A287657
{0->01, 1->10}-transform of the infinite Fibonacci word A003849.
3
0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1
OFFSET
1
LINKS
EXAMPLE
As a word, A003849 = 0100101001001010010100100..., and replacing each 0 by 01 and each 1 by 10 gives 01100101100110010110010110011001...
MATHEMATICA
s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {0}}] &, {0}, 10] (*A003849*)
w = StringJoin[Map[ToString, s]]
w1 = StringReplace[w, {"0" -> "01", "1" -> "10"}] (*Thue-Morse transform*)
st = ToCharacterCode[w1] - 48 (*A287657*)
Flatten[Position[st, 0]] (*A287658*)
Flatten[Position[st, 1]] (*A287659*)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jun 02 2017
STATUS
approved