A285411 0-limiting word of the morphism 0->11, 1-> 010.

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

Offset

1

Comments

The morphism 0->11, 1-> 010 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 11 -> 010010 -> 11010111101011 -> 01001011010110100100100101101011010010; if the number of iterations is odd, the 1-word evolves from 0 -> 11 -> 010010 -> 11010111101011 , as in A285414.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 1, 0}}] &, {0}, 10] (* A285411 *)
Flatten[Position[s, 0]]  (* A285412 *)
Flatten[Position[s, 1]]  (* A285413 *)

Crossrefs

Cf. A285412, A285413, A285414.

Sequence in context: A288462 A361460 A130198 * A104893 A104894 A168393

Adjacent sequences: A285408 A285409 A285410 * A285412 A285413 A285414

Keyword

nonn,easy

Author

Clark Kimberling, Apr 27 2017

Status

approved