A285530 - OEIS

A285530

0-limiting word of the morphism 0->11, 1-> 0100.

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

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OFFSET

COMMENTS

The morphism 0->11, 1-> 0100 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 11 -> 01000100 -> 11010011111101001111 -> 01000100110100111101000100010001000100010011010011110100010001000100...; if the number of iterations is odd, the 1-word evolves from 0 -> 11 -> 01000100 -> 11010011111101001111, as in A285533.

LINKS

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

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 1, 0, 0}}] &, {0}, 8] (* A285530 *)

Flatten[Position[s, 0]] (* A285531 *)

Flatten[Position[s, 1]] (* A285532 *)

CROSSREFS

Cf. A285531, A285532, A285533.

Sequence in context: A292273 A324772 A285949 * A317542 A322796 A109017

Adjacent sequences: A285527 A285528 A285529 * A285531 A285532 A285533

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 30 2017

STATUS

approved