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A285196 If A_k denotes the first 2*3^k terms, then A_0 = 01, A_{k+1} = A_k A_k B_k, where B_k is obtained from A_k by interchanging 0's and 1's. 2
0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0

COMMENTS

In other words, the sequence is the limit of A_k as k -> oo.

This is a cubefree sequence.

REFERENCES

J.-P. Allouche and J. Shallit, Automatic Sequences, Cambridge Univ. Press, 2003, p. 28, #49.

LINKS

Table of n, a(n) for n=0..100.

MAPLE

with(ListTools);

f2:=proc(S) map(x->x+1 mod 2, S); end;

f:=proc(S) global f2;

[op(S), op(S), op(f2(S))]; end;

S:=[0, 1];

for n from 1 to 6 do S:=f(S): od:

S;

CROSSREFS

See A064990 for a very similar sequence.

The Thue-Morse sequence A010060 is a classical example of a cubefree sequence.

A282317 is the lexicographically earliest binary cubefree sequence.

Sequence in context: A286685 A284878 A118006 * A189673 A189014 A189017

Adjacent sequences:  A285193 A285194 A285195 * A285197 A285198 A285199

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Apr 30 2017

STATUS

approved

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Last modified December 15 12:13 EST 2019. Contains 329999 sequences. (Running on oeis4.)