A285205 - OEIS

A285205

0-limiting word of the morphism 0->10, 1-> 0100.

0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0

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OFFSET

COMMENTS

The morphism 0->10, 1-> 0100 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 10 -> 0100 -> 1001001010 -> 0100101001001010010010010010; if the number of iterations is odd, the 1-word evolves from 0 -> 10 -> 0100 -> 1001001010, as in A285208.

LINKS

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

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 1, 0, 0}}] &, {0}, 12]; (* A285205 *)

Flatten[Position[s, 0]]; (* A285206 *)

Flatten[Position[s, 1]]; (* A285207 *)

CROSSREFS

Cf. A285206, A285207, A285208.

Sequence in context: A164349 A094186 A267371 * A286654 A003849 A188034

Adjacent sequences: A285202 A285203 A285204 * A285206 A285207 A285208

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 21 2017

STATUS

approved