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A284533 0-limiting word of the morphism 0->1, 1->0101. 4
0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

The morphism 0->1, 1-> 0101 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 1 -> 0101 -> 1010110101 -> 0101101011010101011010110101; if the number of iterations is odd, the 1-word evolves from 0 -> 1 -> 0101 -> 1010110101, as in A284588.

LINKS

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

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1}, 1 -> {0, 1, 0, 1}}] &, {0}, 6] (* A284533 *)

Flatten[Position[s, 0]]  (* A284534 *)

Flatten[Position[s, 1]]  (* A284535 *)

CROSSREFS

Cf. A284534, A284535, A284588.

Sequence in context: A165211 A188027 A193496 * A286665 A096270 A308185

Adjacent sequences:  A284530 A284531 A284532 * A284534 A284535 A284536

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 07 2017

STATUS

approved

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Last modified December 15 20:00 EST 2019. Contains 330000 sequences. (Running on oeis4.)