A285627 Positions of 1 in A285625; complement of A285626.

1, 3, 5, 6, 7, 9, 11, 12, 13, 15, 17, 19, 21, 23, 25, 26, 27, 29, 31, 32, 33, 35, 37, 39, 41, 43, 45, 46, 47, 49, 51, 52, 53, 55, 57, 58, 59, 61, 63, 64, 65, 67, 69, 70, 71, 73, 75, 76, 77, 79, 81, 83, 85, 87, 89, 90, 91, 93, 95, 96, 97, 99, 101, 103, 105

Offset

1,2

Comments

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

Links

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

Example

As a word, A285625 = 101011101011..., in which 1 is in positions 1,3,5,6,7,9,...

Mathematica

s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {1, 0, 1, 0}}] &, {0}, 10] (* A285625 *)
Flatten[Position[s, 0]]  (* A285626 *)
Flatten[Position[s, 1]]  (* A285627 *)

Crossrefs

Cf. A285625, A285626.

Sequence in context: A284015 A286908 A284852 * A050876 A346125 A320472

Adjacent sequences: A285624 A285625 A285626 * A285628 A285629 A285630

Keyword

nonn,easy

Author

Clark Kimberling, May 01 2017

Status

approved