A285418 - OEIS

A285418

0-limiting word of the morphism 0->11, 1-> 011.

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

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OFFSET

COMMENTS

The morphism 0->11, 1-> 011 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 11 -> 011011 -> 1101101111011011 -> 01101111011011110110110110111101101111011011; if the number of iterations is odd, the 1-word evolves from 0 -> 11 -> 011011 -> 1101101111011011, as in A285421.

LINKS

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

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 1, 1}}] &, {0}, 10] (* A285418 *)

Flatten[Position[s, 0]] (* A285419 *)

Flatten[Position[s, 1]] (* A285420 *)

CROSSREFS

Cf. A285419, A285420, A285421.

Sequence in context: A332814 A353788 A348737 * A344617 A068717 A049240

Adjacent sequences: A285415 A285416 A285417 * A285419 A285420 A285421

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 28 2017

STATUS

approved