A285623 - OEIS

A285623

Positions of 1 in A285621; complement of A285622.

1, 4, 5, 6, 7, 8, 9, 12, 13, 16, 17, 20, 21, 24, 25, 28, 29, 32, 33, 34, 35, 36, 37, 40, 41, 44, 45, 46, 47, 48, 49, 52, 53, 56, 57, 58, 59, 60, 61, 64, 65, 68, 69, 70, 71, 72, 73, 76, 77, 80, 81, 82, 83, 84, 85, 88, 89, 92, 93, 94, 95, 96, 97, 100, 101, 104

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OFFSET

1,2

COMMENTS

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

LINKS

Table of n, a(n) for n=1..66.

EXAMPLE

As a word, A285621 = 10011111100110..., in which 1 is in positions 1,4,5,6,7,...

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {1, 0, 0, 1}}] &, {0}, 10] (* A285621 *)

Flatten[Position[s, 0]] (* A285622 *)