A285569 - OEIS

A285569

Positions of 0 in A285568; complement of A286031.

3, 6, 7, 10, 15, 18, 19, 22, 25, 28, 29, 32, 35, 38, 39, 42, 47, 50, 51, 54, 57, 60, 61, 64, 65, 68, 69, 72, 75, 78, 79, 82, 87, 90, 91, 94, 97, 100, 101, 104, 107, 110, 111, 114, 119, 122, 123, 126, 131, 134, 135, 138, 143, 146, 147, 150, 153, 156, 157, 160

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Conjecture: a(n)/n -> (3+sqrt(5))/2.

LINKS

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

EXAMPLE

As a word, A285568 = 110110011011..., in which 0 is in positions 3,6,7,10,...

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 1, 1, 0}}] &, {0}, 9] (* A285568 *)

Flatten[Position[s, 0]] (* A285569 *)