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A284623
Positions of 0 in A284622; complement of A284626.
3
1, 4, 6, 7, 8, 10, 13, 15, 16, 18, 21, 22, 24, 25, 26, 28, 31, 32, 34, 35, 37, 40, 42, 43, 44, 46, 49, 51, 52, 54, 57, 58, 60, 61, 63, 66, 68, 69, 70, 72, 75, 76, 78, 79, 80, 82, 85, 87, 88, 90, 93, 94, 96, 97, 98, 100, 103, 104, 106, 107, 109, 112, 114, 115
OFFSET
1,2
COMMENTS
a(n) - a(n-1) is in {1,2,3} for n>=2. Conjecture: a(n)/n -> 9/5.
This conjecture follows directly from the corresponding result for the positions of 1, proved in A284626. - Michel Dekking, Mar 31 2022
LINKS
EXAMPLE
As a word, A284622 = 011010001011010010..., in which 0 is in positions 1,4,6,7,8,10,...
MATHEMATICA
s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 0}}] &, {0}, 9] (* A010060 *)
w = StringJoin[Map[ToString, s]]
w1 = StringReplace[w, {"0011" -> "0"}]
st = ToCharacterCode[w1] - 48 (* A284622 *)
Flatten[Position[st, 0]] (* A284623 *)
Flatten[Position[st, 1]] (* A284626 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, May 10 2017
STATUS
approved