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A285517
Positions of 1 in A285515; complement of A285516.
3
2, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 22, 24, 26, 28, 29, 30, 32, 34, 35, 36, 38, 40, 42, 44, 46, 48, 49, 50, 52, 54, 55, 56, 58, 60, 62, 64, 66, 68, 69, 70, 72, 74, 75, 76, 78, 80, 81, 82, 84, 86, 87, 88, 90, 92, 93, 94, 96, 98, 99, 100, 102, 104, 106
OFFSET
1,1
COMMENTS
Conjecture: a(n)/n -> (1+sqrt(5))/2 = golden ratio (A001622).
LINKS
EXAMPLE
As a word, A285515 = 01010101110..., in which 1 is in positions 2,4,6,8,9,...
MATHEMATICA
s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 0, 1, 1}}] &, {0}, 6] (* A285501 *)
w = StringJoin[Map[ToString, s]]
w1 = StringReplace[w, {"11" -> "1", "00" -> "0"}]
s1 = ToCharacterCode[w1] - 48 (* A285515 *)
Flatten[Position[s1, 0]] (* A285516 *)
Flatten[Position[s1, 1]] (* A285517 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Apr 30 2017
STATUS
approved