login
A289244
Positions of 1 in A289242; complement of A289243.
3
3, 5, 8, 11, 16, 18, 23, 25, 28, 33, 37, 39, 42, 45, 50, 54, 56, 61, 63, 66, 69, 74, 76, 81, 83, 88, 90, 93, 98, 102, 104, 107, 110, 115, 117, 122, 124, 127, 132, 136, 138, 141, 146, 148, 151, 156, 158, 163, 165, 170, 172, 175, 180, 182, 185, 190, 194, 196
OFFSET
1,1
COMMENTS
Conjecture: a(n)/n -> a(n)/n -> 2+sqrt(2), and 0 < 2+sqrt(2)-a(n)/n < = 1 n >= 1.
LINKS
MATHEMATICA
z = 11; (* number of iterates *)
s = {0, 0}; w[0] = StringJoin[Map[ToString, s]];
w[n_] := StringReplace[w[n - 1], {"00" -> "0010", "01" -> "100", "10" -> "100"}]
TableForm[Table[w[n], {n, 0, 10}]]
st = ToCharacterCode[w[z]] - 48 (* A289242 *)
Flatten[Position[st, 0]] (* A289243 *)
Flatten[Position[st, 1]] (* A289244 *)
CROSSREFS
Sequence in context: A080415 A340318 A175489 * A248879 A014688 A167136
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jul 01 2017
STATUS
approved