A285464 - OEIS

A285464

0-limiting word of the morphism 0->11, 1-> 0001.

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

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OFFSET

COMMENTS

The morphism 0->11, 1-> 0001 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 11 -> 00010001 -> 11111100011111110001 -> 00010000001... ; if the number of iterations is odd, the 1-word evolves from 0 -> 11 -> 00010001 -> 11111100011111110001, as in A285467.

LINKS

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

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 0, 0, 1}}] &, {0}, 10] (* A285464 *)

Flatten[Position[s, 0]] (* A285465 *)

Flatten[Position[s, 1]] (* A285466 *)

CROSSREFS

Cf. A285465, A285466, A285467.

Sequence in context: A011765 A342023 A342024 * A331282 A331169 A144602

Adjacent sequences: A285461 A285462 A285463 * A285465 A285466 A285467

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 29 2017

STATUS

approved