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A284957 1-limiting word of the morphism 0->10, 1-> 000. 4
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 (list; graph; refs; listen; history; text; internal format)
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 * A316533 A085405 A036988

Adjacent sequences:  A284954 A284955 A284956 * A284958 A284959 A284960

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 18 2017

STATUS

approved

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Last modified December 6 13:45 EST 2021. Contains 349563 sequences. (Running on oeis4.)