A189668 - OEIS

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A189668

Fixed point of the morphism 0->010, 1->100.

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

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OFFSET

LINKS

Table of n, a(n) for n=1..122.

Index entries for sequences that are fixed points of mappings

FORMULA

a(3k-2)=a(k), a(3k-1)=1-a(k), a(3k)=0 for k>=1, a(0)=0.

Conjecture: a(n) = 2n - 1 - A285347(n).

This conjecture is correct, and proved in A285347. - Michel Dekking, Sep 07 2022

EXAMPLE

0->010->010100010->

MATHEMATICA