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A289074 Fixed point of the mapping 00->0010, 01->011, 10->100, starting with 00. 4
0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

The number of letters (0s and 1s) in the n-th iterate of the mapping is given by A289010.

LINKS

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

EXAMPLE

The first six iterates of the mapping:

00

0010

0010100

00101001000

001010010001000100

0010100100010001001000100100010

MATHEMATICA

z = 11; (* number of iterates *)

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

w[n_] := StringReplace[w[n - 1], {"00" -> "0010", "01" -> "011", "10" -> "100"}]

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

st = ToCharacterCode[w[z]] - 48   (* A289074 *)

Flatten[Position[st, 0]]  (* A289075 *)

Flatten[Position[st, 1]]  (* A289076 *)

Table[StringLength[w[n]], {n, 0, 20}] (* A289077 *)

CROSSREFS

Cf. A289075, A289076, A289077.

Sequence in context: A289011 A289071 A287931 * A289242 A188037 A144598

Adjacent sequences:  A289071 A289072 A289073 * A289075 A289076 A289077

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 27 2017

STATUS

approved

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Last modified April 18 10:57 EDT 2019. Contains 322209 sequences. (Running on oeis4.)