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A285564
Positions of 1 in A286939; complement of A285432.
3
3, 9, 12, 19, 25, 28, 31, 37, 40, 47, 53, 59, 62, 69, 75, 78, 81, 87, 90, 97, 100, 107, 113, 116, 119, 125, 128, 135, 141, 147, 150, 157, 163, 166, 169, 175, 181, 184, 187, 193, 196, 203, 209, 215, 218, 225, 231, 234, 237, 243, 246, 253, 256, 263, 269, 272
OFFSET
1,1
COMMENTS
Conjecture: lim_{n->oo} a(n)/n = 4.89..., and if m denotes this number, then -1 < a(n)/n - m < 2 for n >= 1.
LINKS
MATHEMATICA
s = {0, 0}; w[0] = StringJoin[Map[ToString, s]];
w[n_] := StringReplace[w[n - 1], {"00" -> "001", "1" -> "000"}]
Table[w[n], {n, 0, 8}]
st = ToCharacterCode[w[11]] - 48 (* A286939 *)
Flatten[Position[st, 0]] (* A285432 *)
Flatten[Position[st, 1]] (* A285564 *)
Table[StringLength[w[n]], {n, 1, 35}] (* A285665 conjectured *)
CROSSREFS
KEYWORD
nonn,easy,changed
AUTHOR
Clark Kimberling, Jun 04 2017
EXTENSIONS
Definition corrected by Georg Fischer, Jun 05 2020
STATUS
approved