login
A285967
Positions of 0 in A285966; complement of A285968.
3
1, 3, 5, 6, 8, 9, 11, 13, 15, 16, 18, 20, 21, 23, 25, 26, 28, 29, 31, 33, 34, 36, 38, 39, 41, 43, 45, 46, 48, 49, 51, 53, 55, 56, 58, 60, 61, 63, 65, 66, 68, 70, 72, 73, 75, 76, 78, 80, 81, 83, 85, 86, 88, 89, 91, 93, 95, 96, 98, 100, 101, 103, 105, 106, 108
OFFSET
1,2
COMMENTS
Conjecture: a(n)/n -> 5/3.
For a proof of this conjecture see A285968. - Michel Dekking, Mar 15 2019
LINKS
EXAMPLE
As a word, A285966 = 01010010010101001010010..., in which 0 is in positions 1,3,5,6,8,...
MATHEMATICA
s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 0}}] &, {0}, 9] (* Thue-Morse, A010060 *)
w = StringJoin[Map[ToString, s]]
w1 = StringReplace[w, {"11" -> "1"}]
st = ToCharacterCode[w1] - 48 (* A285966 *)
Flatten[Position[st, 0]] (* A285967 *)
Flatten[Position[st, 1]] (* A285968 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, May 06 2017
STATUS
approved