A286339 {1101->1}-transform of the Thue-Morse word A010060.

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

Offset

1

Comments

This is also the {1010->1}-transform of the Thue-Morse word A010060.

Links

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

Example

As a word, A010060 = 0110100110010110100101100..., and replacing each 1101 by 1 gives 0100110010100101100...

Mathematica

s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 0}}] &, {0}, 9] (* A010060 *)
w = StringJoin[Map[ToString, s]]
w1 = StringReplace[w, {"1101" -> "1"}]
st = ToCharacterCode[w1] - 48  (* A286339 *)
Flatten[Position[st, 0]]  (* A286340 *)
Flatten[Position[st, 1]]  (* A286341 *)

Crossrefs

Cf. A010060, A286340, A286341.

Sequence in context: A079813 A078580 A059651 * A244735 A245938 A176405

Adjacent sequences: A286336 A286337 A286338 * A286340 A286341 A286342

Keyword

nonn,easy

Author

Clark Kimberling, May 09 2017

Status

approved