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A286939 Fixed point of the mapping 00->001, 1->000, starting with 00. 9
0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

LINKS

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

EXAMPLE

Iterates, starting with 00:

00

001

001000

0010000010

00100000100100000

00100000100100000010000010010

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

Cf. A285432, A285564, A285665.

Sequence in context: A289235 A188371 A288106 * A025125 A147873 A103589

Adjacent sequences:  A286936 A286937 A286938 * A286940 A286941 A286942

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 04 2017

STATUS

approved

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Last modified August 20 06:36 EDT 2019. Contains 326139 sequences. (Running on oeis4.)