A284957 1-limiting word of the morphism 0->10, 1-> 000.

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

Offset

1

Comments

The morphism 0->10, 1->000 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 10 -> 00010 -> 10101000010 -> 00010000100001010101000010; if the number of iterations is odd, the 1-word evolves from 0 -> 10 -> 00010 -> 10101000010, as in A284957.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 0, 0}}] &, {0}, 9]; (* A284957 *)
Flatten[Position[s, 0]]; (* A284958  *)
Flatten[Position[s, 1]]; (* A284959 *)

Crossrefs

Cf. A284954, A284958, A284959.

Sequence in context: A285136 A029694 A171894 * A357385 A316533 A085405

Adjacent sequences: A284954 A284955 A284956 * A284958 A284959 A284960

Keyword

nonn,easy

Author

Clark Kimberling, Apr 18 2017

Status

approved