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A285249 0-limiting word of the morphism 0->10, 1-> 0101. 5
0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

The morphism 0->10, 1-> 0101 has two limiting words.  If the number of iterations is even, the 0-word evolves from 0 -> 10 -> 0101 -> 100101100101 -> 010110100101100101010110100101100101; if the number of iterations is odd, the 1-word evolves from 0 -> 10 -> 0101 -> 100101100101, as in A285252.

LINKS

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

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 1, 0, 1}}] &, {0}, 12]; (* A285249 *)

Flatten[Position[s, 0]];  (* A285250 *)

Flatten[Position[s, 1]];  (* A285251 *)

CROSSREFS

Cf. A285250, A285251, A285252.

Sequence in context: A117872 A291291 A324681 * A269027 A089809 A165211

Adjacent sequences:  A285246 A285247 A285248 * A285250 A285251 A285252

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 23 2017

STATUS

approved

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Last modified February 20 15:52 EST 2020. Contains 332078 sequences. (Running on oeis4.)