A285567 - OEIS

A285567

Positions of 1 in A285565; complement of A285566.

2, 3, 6, 7, 9, 10, 12, 13, 16, 17, 19, 20, 21, 22, 24, 25, 28, 29, 31, 32, 34, 35, 38, 39, 42, 43, 46, 47, 49, 50, 52, 53, 56, 57, 59, 60, 61, 62, 64, 65, 68, 69, 71, 72, 74, 75, 78, 79, 81, 82, 84, 85, 88, 89, 91, 92, 93, 94, 96, 97, 100, 101, 103, 104, 106

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

OFFSET

1,1

COMMENTS

Conjecture: a(n)/n -> (1+sqrt(5))/2 = golden ratio (A001622).

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..6178

EXAMPLE

As a word, A285565 = 01100110..., in which 1 is in positions 2,3,6,7,9,...

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 1, 1, 0}}] &, {0}, 8] (* A285565 *)

Flatten[Position[s, 0]] (* A285566 *)