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A286045 Positions of 0 in A286044; complement of A003157. 3
1, 2, 4, 5, 6, 7, 9, 10, 12, 13, 15, 16, 17, 18, 20, 21, 22, 23, 25, 26, 27, 28, 30, 31, 33, 34, 36, 37, 38, 39, 41, 42, 44, 45, 47, 48, 49, 50, 52, 53, 55, 56, 58, 59, 60, 61, 63, 64, 65, 66, 68, 69, 70, 71, 73, 74, 76, 77, 79, 80, 81, 82, 84, 85, 86, 87 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Conjecture: a(n)/n -> 4/3.

Also, these are the positions of 0 in the {110->1}-transform of A010060.

LINKS

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

EXAMPLE

As a word, A286044 = 001000010010010000100..., in which 0 is in positions 1,2,4,5,6,7,9,...

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 0}}] &, {0}, 9] (* Thue-Morse, A010060 *)

w = StringJoin[Map[ToString, s]]

w1 = StringReplace[w, {"011" -> "0"}]

st = ToCharacterCode[w1] - 48 (* A286044 *)

Flatten[Position[st, 0]]  (* A286045 *)

Flatten[Position[st, 1]]  (* A003157 *)

CROSSREFS

Cf. A010060, A286044, A003157.

Sequence in context: A047572 A003233 A218544 * A127032 A255165 A047316

Adjacent sequences:  A286042 A286043 A286044 * A286046 A286047 A286048

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, May 07 2017

STATUS

approved

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Last modified May 14 19:53 EDT 2021. Contains 343903 sequences. (Running on oeis4.)