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A286801 {0->110, 1->010}-transform of the Pell word, A171588. 3
1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

A171588 = 001001000100100010010010001001..., and replacing each 0 by 110 and each 1 by 010 gives 1101100101101100101101101100101..., in which the positions of 0 are given by A286802, and of 1, by A286803.

LINKS

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

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {0, 0, 1}, 1 -> {0}}] &, {0}, 16]; (* Pell word, A171588 *)

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

w1 = StringReplace[w, {"0" -> "110", "1" -> "010"}];

st = ToCharacterCode[w1] - 48 ; (* A286801 *)

Flatten[Position[st, 0]];  (* A286802 *)

Flatten[Position[st, 1]];  (* A286803 *)

CROSSREFS

Cf. A171588, A286802, A286803.

Sequence in context: A141727 A298952 A123594 * A189091 A145006 A189138

Adjacent sequences:  A286798 A286799 A286800 * A286802 A286803 A286804

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, May 16 2017

STATUS

approved

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Last modified June 18 18:52 EDT 2019. Contains 324215 sequences. (Running on oeis4.)