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A284487 0-limiting word of the morphism 0->1, 1->0011. 3
0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

The morphism 0->1, 1->0011 has two limiting words.  If the number of iterations is even, the 0-word evolves from 0 -> 1 -> 0011 -> 1100110011 -> 0011001111001100111100110011; if the number of iterations is odd, the 1-word evolves from 0 -> 1 -> 0011 -> 1100110011 ->, as in A284490.

LINKS

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

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1}, 1 -> {0, 0, 1, 1}}] &, {0}, 14]; (* A284487 *)

Flatten[Position[s, 0]];  (* A284488 *)

Flatten[Position[s, 1]];  (* A284489 *)

CROSSREFS

Cf. A284488, A284489, A284490.

Sequence in context: A288551 A327174 A269723 * A156660 A155899 A284932

Adjacent sequences:  A284484 A284485 A284486 * A284488 A284489 A284490

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 04 2017

STATUS

approved

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Last modified May 7 10:18 EDT 2021. Contains 343650 sequences. (Running on oeis4.)