A285972 {10->1}-transform of the Thue-Morse word A010060.

0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1

Offset

1

Links

Clark Kimberling, Table of n, a(n) for n = 1..10000

Formula

Conjecture: a(n) = A285960(n-1). - R. J. Mathar, May 08 2017

Example

As a word, A010060 = 0110100110010110100101100..., and replacing each 10 by 1 gives 011101101111011101110110111011101...

Mathematica

s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 0}}] &, {0}, 9] (* Thue-Morse, A010060 *)
w = StringJoin[Map[ToString, s]]
w1 = StringReplace[w, {"10" -> "1"}]
st = ToCharacterCode[w1] - 48 (* A285972  *)
Flatten[Position[st, 0]]  (* A285973 *)
Flatten[Position[st, 1]]  (* A285974 *)

Crossrefs

Cf. A010060, A285973, A285974.

Sequence in context: A101264 A189723 A095770 * A275510 A286055 A140318

Adjacent sequences: A285969 A285970 A285971 * A285973 A285974 A285975

Keyword

nonn,easy

Author

Clark Kimberling, May 06 2017

Status

approved