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A286752 {010010->null}-transform of the infinite Fibonacci word A003849. 3
1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

As a word, A003849 = 01001010010010100101001001010010..., and deleting each occurrence of 010010 gives 10100101011010010101101001001..., in which the positions of 0 are given by A286753, and of 1, by A286754.

LINKS

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

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {0}}] &, {0}, 12]; (* A003849 *)

w = StringJoin[Map[ToString, s]];

w1 = StringReplace[w, {"010010" -> ""}];

st = ToCharacterCode[w1] - 48; (* A286752 *)

Flatten[Position[st, 0]];  (* A286753 *)

Flatten[Position[st, 1]];  (* A286754 *)

CROSSREFS

Cf. A003849, A286753, A286754.

Sequence in context: A090626 A129569 A266611 * A320167 A030658 A187950

Adjacent sequences:  A286749 A286750 A286751 * A286753 A286754 A286755

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, May 14 2017

STATUS

approved

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Last modified January 23 22:36 EST 2020. Contains 331177 sequences. (Running on oeis4.)