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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
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
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
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, May 07 2017
STATUS
approved