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A285666 Fixed point of the mapping 00->001, 1->010, starting with 00. 3
0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

Conjecture:  the number of letters (0s and 1s) in the n-th iterate of the mapping is given by A001580.

LINKS

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

EXAMPLE

Iterates, starting with 00:

00

001

001010

00101000100

00101000100010010001

0010100010001001000100100010100010010

MATHEMATICA

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

w[n_] := StringReplace[w[n - 1], {"00" -> "001", "1" -> "010"}]

Table[w[n], {n, 0, 8}]

st = ToCharacterCode[w[11]] - 48   (* A285666 *)

Flatten[Position[st, 0]]  (* A285667 *)

Flatten[Position[st, 1]]  (* A286058 *)

Table[StringLength[w[n]], {n, 1, 35}] (* A001580 conjectured *)

CROSSREFS

Cf. A285667, A286058, A001580.

Sequence in context: A156731 A254379 A288257 * A120325 A285139 A289011

Adjacent sequences:  A285663 A285664 A285665 * A285667 A285668 A285669

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 05 2017

STATUS

approved

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Last modified August 18 20:02 EDT 2019. Contains 326109 sequences. (Running on oeis4.)