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A286988
Positions of 0 in A286987; complement of A286989.
3
3, 6, 8, 11, 13, 16, 19, 21, 24, 26, 29, 32, 34, 37, 39, 42, 44, 47, 50, 52, 55, 57, 60, 63, 65, 68, 70, 73, 75, 78, 81, 83, 86, 88, 91, 94, 96, 99, 101, 104, 107, 109, 112, 114, 117, 119, 122, 125, 127, 130, 132, 135, 138, 140, 143, 145, 148, 150, 153, 156
OFFSET
1,1
COMMENTS
a(n) - a(n-1) is in {2,3} for n>=2, and a(n)/n -> 4 - sqrt(8).
LINKS
EXAMPLE
As a word, A286987 = 1101101011010110110101..., in which 0 is in positions 3,6,8,11,....
MATHEMATICA
s = Nest[Flatten[# /. {0 -> 1, 1 -> {1, 1, 0}}] &, {1}, 11]; (* Sturmian word A080764 *)
w = StringJoin[Map[ToString, s]];
w1 = StringReplace[w, {"111" -> "1"}]
st = ToCharacterCode[w1] - 48 ; (* A286987 *)
Flatten[Position[st, 0]]; (* A286988 *)
Flatten[Position[st, 1]]; (* A286989 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, May 18 2017
STATUS
approved