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A288478 Fixed point of the mapping 00->0101, 1->110, starting with 00. 3
0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

Iterates, starting with 00:

00

0101

01100110

011011001011101100

011011001101100101110011011011001101100101

Conjecture: the number of letters (0's and 1's) in the n-th iterate is given by A182780(n).

LINKS

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

MATHEMATICA

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

w[n_] := StringReplace[w[n - 1], {"00" -> "0101", "1" -> "110"}]

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

st = ToCharacterCode[w[11]] - 48   (* A288478 *)

Flatten[Position[st, 0]]  (* A288479 *)

Flatten[Position[st, 1]]  (* A288480 *)

Table[StringLength[w[n]], {n, 1, 35}] (* A182780 conjectured *)

CROSSREFS

Cf. A288479, A288480, A182780.

Sequence in context: A284627 A322829 A286400 * A225183 A082410 A189479

Adjacent sequences:  A288475 A288476 A288477 * A288479 A288480 A288481

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 12 2017

STATUS

approved

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Last modified April 17 03:58 EDT 2021. Contains 343059 sequences. (Running on oeis4.)