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A286059 Fixed point of the mapping 00->001, 1->011, starting with 00. 4
0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1 (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 A286062.

LINKS

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

EXAMPLE

Iterates, starting with 00:

00

001

001011

0010110011011

00101100110110010110110011011

MATHEMATICA

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

w[n_] := StringReplace[w[n - 1], {"00" -> "001", "1" -> "011"}]

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

st = ToCharacterCode[w[11]] - 48   (* A286059 *)

Flatten[Position[st, 0]]  (* A286060 *)

Flatten[Position[st, 1]]  (* A286061 *)

Table[StringLength[w[n]], {n, 1, 35}] (* A286062 conjectured *)

CROSSREFS

Cf. A286060, A286061, A286062.

Sequence in context: A092436 A288306 A164056 * A163539 A143538 A242018

Adjacent sequences:  A286056 A286057 A286058 * A286060 A286061 A286062

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 05 2017

STATUS

approved

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Last modified October 17 22:05 EDT 2019. Contains 328134 sequences. (Running on oeis4.)