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A286050 Positions of 0 in A286049; complement of A286051. 3
1, 4, 5, 7, 9, 12, 13, 15, 17, 20, 21, 23, 25, 27, 30, 31, 33, 36, 37, 39, 41, 44, 45, 47, 49, 52, 53, 55, 58, 59, 61, 63, 65, 68, 69, 71, 73, 76, 77, 79, 81, 84, 85, 87, 89, 91, 94, 95, 97, 100, 101, 103, 105, 107, 110, 111, 113, 115, 118, 119, 121, 123 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Conjecture: 2n - a(n) is in {0,1} for n >= 1.

Also, the positions of 0 in the {100->0}-transform of A010060.

LINKS

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

EXAMPLE

As a word, A286049 = 0110010101100101..., in which 0 is in positions 1,4,5,7,9,...

MATHEMATICA

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

w = StringJoin[Map[ToString, s]]

w1 = StringReplace[w, {"110" -> "1"}]

st = ToCharacterCode[w1] - 48 (* A286049 *)

Flatten[Position[st, 0]]  (* A286050 *)

Flatten[Position[st, 1]]  (* A286051 *)

CROSSREFS

Cf. A010060, A286049, A286051.

Sequence in context: A035243 A035255 A335984 * A047493 A285307 A297838

Adjacent sequences:  A286047 A286048 A286049 * A286051 A286052 A286053

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, May 07 2017

STATUS

approved

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Last modified December 1 07:14 EST 2020. Contains 338833 sequences. (Running on oeis4.)