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A288462 Fixed point of the mapping 00->0101, 1->10, starting with 00. 4
0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

Conjecture: the number of letters (0's and 1's) in the n-th iterate is given by A288465(n).

LINKS

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

EXAMPLE

Iterates, starting with 00:

00

0101

010010

0100101100

010010110010100101

01001011001010010110010010110010

MATHEMATICA

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

w[n_] := StringReplace[w[n - 1], {"00" -> "0101", "1" -> "10"}]

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

st = ToCharacterCode[w[11]] - 48   (* A288462 *)

Flatten[Position[st, 0]]  (* A288463 *)

Flatten[Position[st, 1]]  (* A288464 *)

Table[StringLength[w[n]], {n, 1, 35}] (* A288465 conjectured *)

CROSSREFS

Cf. A288463, A288464, A288465.

Sequence in context: A111748 A282244 A286691 * A130198 A285411 A104893

Adjacent sequences:  A288459 A288460 A288461 * A288463 A288464 A288465

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 11 2017

STATUS

approved

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Last modified May 17 23:07 EDT 2022. Contains 353779 sequences. (Running on oeis4.)