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A284948 1-limiting word of the morphism 0 -> 10, 1 -> 00 3
1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

Consider iterations of the morphism: 0 -> 10 -> 0010 -> 10100010 -> 0010001010100010 -> ...  There are two limiting words, one of which has initial term 1 and the other, 0.  The former is the 1-limiting word, and the latter is obtained by prepending 0 to the former.

LINKS

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

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 0}}] &, {0}, 7] (* A284948 *)

u = Flatten[Position[s, 0]]  (* A171946  *)

v = Flatten[Position[s, 1]]  (* A171947 *)

CROSSREFS

Cf. A171946, A171947.

Sequence in context: A266174 A285142 A267525 * A266282 A228747 A285162

Adjacent sequences:  A284945 A284946 A284947 * A284949 A284950 A284951

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 18 2017

STATUS

approved

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Last modified October 17 10:50 EDT 2017. Contains 293469 sequences.