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A285590 Positions of 0 in A285589; complement of A285591. 3
1, 3, 5, 7, 9, 11, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 37, 39, 41, 43, 45, 47, 49, 51, 53, 56, 58, 60, 62, 64, 66, 68, 70, 72, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 98, 100, 102, 104, 106, 108, 110, 112, 114, 117, 119, 121, 124, 126, 128, 131 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Conjecture:  a(n)/n -> (1+sqrt(5/4).

LINKS

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

EXAMPLE

As a word, A285568 = 01010101010110..., in which 0 is in positions 1,3,5,7,...

MATHEMATICA

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

w = StringJoin[Map[ToString, s]]

w1 = StringReplace[w, {"00" -> "0", "11" -> "1"}]

ss = ToCharacterCode[w1] - 48 (* A285589 *)

Flatten[Position[ss, 0]]  (* A285590 *)

Flatten[Position[ss, 1]]  (* A285591 *)

CROSSREFS

Cf. A285565, A285589, A285591, A285592.

Sequence in context: A117521 A190053 A327209 * A195179 A033038 A195167

Adjacent sequences:  A285587 A285588 A285589 * A285591 A285592 A285593

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 30 2017

STATUS

approved

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Last modified June 19 12:53 EDT 2021. Contains 345129 sequences. (Running on oeis4.)