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A285533 1-limiting word of the morphism 0->11, 1-> 0100. 6
1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

The morphism 0->11, 1-> 0100 has two limiting words.  If the number of iterations is even, the 0-word evolves from 0 -> 11 -> 01000100 -> 11010011111101001111 -> 01000100110100111101000100010001000100010011010011110100010001000100...; if the number of iterations is odd, the 1-word evolves from 0 -> 11 -> 01000100 -> 11010011111101001111, as in A285533.

LINKS

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

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 1, 0, 0}}] &, {0}, 9] (* A285533 *)

Flatten[Position[s, 0]]  (* A285534 *)

Flatten[Position[s, 1]]  (* A285535 *)

CROSSREFS

Cf. A285531, A285534, A285535.

Sequence in context: A266716 A190242 A167501 * A185175 A322586 A147612

Adjacent sequences:  A285530 A285531 A285532 * A285534 A285535 A285536

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 30 2017

STATUS

approved

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Last modified October 22 13:35 EDT 2019. Contains 328318 sequences. (Running on oeis4.)