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A289012 Positions of 0 in A289011; complement of A289013. 3
1, 2, 4, 6, 7, 9, 10, 11, 12, 14, 15, 17, 18, 19, 21, 23, 24, 25, 26, 28, 29, 31, 32, 33, 35, 36, 38, 39, 41, 42, 43, 45, 47, 48, 49, 50, 52, 53, 55, 56, 57, 59, 60, 62, 64, 65, 66, 67, 69, 70, 72, 73, 74, 76, 77, 79, 80, 82, 83, 84, 86, 88, 89, 90, 91, 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" -> "001", "10" -> "100"}]

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

st = ToCharacterCode[w[z]] - 48   (* A289011 *)

Flatten[Position[st, 0]]  (* A289012 *)

Flatten[Position[st, 1]]  (* A289013 *)

CROSSREFS

Cf. A289011, A289013.

Sequence in context: A065853 A048284 A026516 * A186493 A289072 A287379

Adjacent sequences:  A289009 A289010 A289011 * A289013 A289014 A289015

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 26 2017

STATUS

approved

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Last modified December 15 17:42 EST 2019. Contains 330000 sequences. (Running on oeis4.)