A285253 - OEIS

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A285253

Positions of 0 in A285252; complement of A285254.

2, 3, 5, 8, 9, 11, 13, 15, 18, 19, 21, 24, 26, 27, 29, 32, 33, 35, 37, 39, 42, 44, 45, 47, 50, 51, 53, 56, 57, 59, 62, 63, 65, 67, 69, 72, 73, 75, 78, 80, 81, 83, 86, 87, 89, 91, 93, 96, 98, 99, 101, 104, 105, 107, 109, 111, 114, 116, 117, 119, 122, 123, 125

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OFFSET

1,1

COMMENTS

Conjecture: 2n - a(n) is in {0,1} for n>=1.

See the comments of A285250 for a proof of this conjecture. - Michel Dekking, Oct 07 2020

LINKS

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

EXAMPLE

As a word, A285252 = 100101100101..., in which 0 is in positions 2,3,5,8,9,11,...

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 1, 0, 1}}] &, {0}, 11]; (* A285252 *)