A285078 Positions of 1 in A285076; complement of A285077.

1, 4, 6, 9, 11, 14, 16, 18, 21, 23, 26, 28, 30, 33, 35, 38, 40, 43, 45, 47, 50, 52, 55, 57, 59, 62, 64, 67, 69, 72, 74, 76, 79, 81, 84, 86, 88, 91, 93, 96, 98, 100, 103, 105, 108, 110, 113, 115, 117, 120, 122, 125, 127, 129, 132, 134, 137, 139, 142, 144, 146

Offset

1,2

Comments

Conjecture: -1 + sqrt(2) < n*r - a(n) < sqrt(2) for n>=1, where r = 1 + sqrt(2).

Appears to differ from A285075 only at a(1). - R. J. Mathar, Apr 24 2017

Both these conjectures can be proved (for n>=2), see the Comments of A285073 and A285075 - Michel Dekking, Sep 24 2017

Links

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

Example

As a word, A285076 = 100101001010..., in which 1 is in positions 1,4,6,9,11,...

Mathematica

s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 1, 0}}] &, {0}, 13]; (* A285076 *)
Flatten[Position[s, 0]];  (* A285077 *)
Flatten[Position[s, 1]];  (* A285078 *)

Crossrefs

Cf. A285074, A285076, A285078.

Sequence in context: A189756 A133578 A347467 * A186318 A186345 A285976

Adjacent sequences: A285075 A285076 A285077 * A285079 A285080 A285081

Keyword

nonn,easy

Author

Clark Kimberling, Apr 19 2017

Status

approved