A285177 - OEIS

A285177

0-limiting word of the morphism 0->11, 1->001.

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

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OFFSET

COMMENTS

The morphism 0->11, 1->001 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 11 -> 001001 -> 11110011111001 ->

00100100100111110010010010010011111001; if the number of iterations is odd, the 1-word evolves from 0 -> 11 -> 001001 -> 11110011111001 , as in A285403.

LINKS

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

Index entries for sequences that are fixed points of mappings

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 0, 1}}] &, {0}, 10] (* A285177 *)

Flatten[Position[s, 0]] (* A285401 *)

Flatten[Position[s, 1]] (* A285402 *)

CROSSREFS

Cf. A285401, A285402, A285403.

Sequence in context: A144604 A022926 A288520 * A144595 A340507 A072785

Adjacent sequences: A285174 A285175 A285176 * A285178 A285179 A285180

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 26 2017

STATUS

approved