A284954 0-limiting word of the morphism 0->10, 1-> 000.

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, 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, 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

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}, 8]; (* A284954 *)
Flatten[Position[s, 0]]; (* A284955  *)
Flatten[Position[s, 1]]; (* A284956 *)

Crossrefs

Cf. A284955, A284956, A284957.

Sequence in context: A368701 A101349 A295308 * A221151 A359474 A359429

Adjacent sequences: A284951 A284952 A284953 * A284955 A284956 A284957

Keyword

nonn,easy

Author

Clark Kimberling, Apr 18 2017

Status

approved