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A289072 Positions of 0 in A289071; complement of A289073. 3
1, 2, 4, 6, 7, 9, 10, 11, 13, 14, 15, 17, 18, 20, 21, 22, 24, 25, 27, 28, 29, 31, 33, 34, 35, 36, 38, 40, 41, 42, 44, 45, 46, 48, 49, 51, 52, 54, 55, 56, 58, 59, 60, 62, 64, 65, 67, 68, 69, 70, 72, 74, 75, 76, 77, 79, 81, 82, 83, 85, 86, 87, 89, 91, 92, 93 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Conjecture:  a(n)/n->sqrt(2), and -1 < sqrt(2) - a(n)/n < -1 + sqrt(2) for n >= 1.

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..10000

MATHEMATICA

z = 11; (* number of iterates *)

s = {0, 0}; w[0] = StringJoin[Map[ToString, s]];

w[n_] := StringReplace[w[n - 1], {"00" -> "0010", "01" -> "010", "10" -> "100"}]

TableForm[Table[w[n], {n, 0, 10}]]

st = ToCharacterCode[w[z]] - 48   (* A289071 *)

Flatten[Position[st, 0]]  (* A289072 *)

Flatten[Position[st, 1]]  (* A289073 *)

CROSSREFS

Cf. A289072, A289073.

Sequence in context: A026516 A289012 A186493 * A287379 A285954 A289075

Adjacent sequences:  A289069 A289070 A289071 * A289073 A289074 A289075

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 27 2017

STATUS

approved

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Last modified December 5 16:12 EST 2019. Contains 329753 sequences. (Running on oeis4.)