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A286044 {011->0}-transform of the Thue-Morse word A010060. 3
0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

This is also the {110->1}-transform of A010060.

LINKS

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

EXAMPLE

As a word, A010060 = 0110100110010110100101100..., and replacing each 011 by 0 gives 00100001001001000010000100001...

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 0}}] &, {0}, 9] (* Thue-Morse, A010060 *)

w = StringJoin[Map[ToString, s]]

w1 = StringReplace[w, {"011" -> "0"}]

st = ToCharacterCode[w1] - 48 (* A286044 *)

Flatten[Position[st, 0]]  (* A286045 *)

Flatten[Position[st, 1]]  (* A003157 *)

CROSSREFS

Cf. A010060, A286045, A003157.

Sequence in context: A305388 A123740 A188472 * A129272 A059648 A288707

Adjacent sequences:  A286041 A286042 A286043 * A286045 A286046 A286047

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, May 07 2017

STATUS

approved

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Last modified May 12 02:06 EDT 2021. Contains 343808 sequences. (Running on oeis4.)