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A285078 Positions of 1 in A285076; complement of A285077. 3
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 (list; graph; refs; listen; history; text; internal format)
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: A234373 A189756 A133578 * A186318 A186345 A285976

Adjacent sequences:  A285075 A285076 A285077 * A285079 A285080 A285081

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 19 2017

STATUS

approved

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Last modified December 8 18:37 EST 2019. Contains 329865 sequences. (Running on oeis4.)