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A285136 1-limiting word of the morphism 0->10, 1-> 0001. 6
1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

The morphism 0->10, 1->0001 has two limiting words.  If the number of iterations is even, the 0-word evolves from 0 -> 10 -> 000110 -> 1010100001000110 -> 00011000011000011010101000011010100001000110; if the number of iterations is odd, the 1-word evolves from 0 -> 10 -> 000110 -> 1010100001000110, as in A285136.

LINKS

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

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 0, 0, 1}}] &, {0}, 11]; (* A285136 *)

Flatten[Position[s, 0]];  (* A285137 *)

Flatten[Position[s, 1]];  (* A285138 *)

CROSSREFS

Cf. A285133, A285137, A285138.

Sequence in context: A274719 A014069 A154388 * A029694 A171894 A284957

Adjacent sequences:  A285133 A285134 A285135 * A285137 A285138 A285139

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 20 2017

STATUS

approved

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Last modified January 24 13:11 EST 2022. Contains 350538 sequences. (Running on oeis4.)