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A285498 1-limiting word of the morphism 0->11, 1-> 0010. 6
1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

The morphism 0->11, 1-> 0010 has two limiting words.  If the number of iterations is even, the 0-word evolves from 0 -> 11 -> 00100010 -> 11110010111111001011 -> 001000100010001011... ; if the number of iterations is odd, the 1-word evolves from 0 -> 11 -> 00100010 -> 11110010111111001011, as in A285498.

LINKS

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

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 0, 1, 0}}] &, {0}, 11] (* A285498 *)

Flatten[Position[s, 0]]  (* A285499 *)

Flatten[Position[s, 1]]  (* A285500 *)

CROSSREFS

Cf. A285495, A285499, A285500.

Sequence in context: A130657 A185916 A084846 * A285504 A130093 A115944

Adjacent sequences:  A285495 A285496 A285497 * A285499 A285500 A285501

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 30 2017

STATUS

approved

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Last modified March 29 17:16 EDT 2020. Contains 333115 sequences. (Running on oeis4.)