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A285949 {0->01, 1->0}-transform of the Thue-Morse word A010060. 3
0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

The morphism {0->1, 1->10} has the infinite Fibonacci word A003849 as fixed point.

LINKS

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

EXAMPLE

As a word, A010060 = 0110100110010110100101100..., and replacing each 0 by 10 and each 1 by 0 gives 0100010010100010100100010...

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 0}}] &, {0}, 7]  (* Thue-Morse, A010060 *)

w = StringJoin[Map[ToString, s]]

w1 = StringReplace[w, {"0" -> "01", "1" -> "0"}]  (* A285949, word *)

st = ToCharacterCode[w1] - 48 (* A285949, sequence *)

Flatten[Position[st, 0]] (* A285950 *)

Flatten[Position[st, 1]] (* A285951 *)

CROSSREFS

Cf. A010060, A003849, A285950, A285951, A285952.

Sequence in context: A285957 A292273 A324772 * A285530 A317542 A322796

Adjacent sequences:  A285946 A285947 A285948 * A285950 A285951 A285952

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, May 02 2017

STATUS

approved

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Last modified September 21 23:55 EDT 2019. Contains 327286 sequences. (Running on oeis4.)