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A288306 Fixed point of the mapping 00->0010, 1->110, starting with 00. 4
0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

LINKS

Table of n, a(n) for n=1..86.

EXAMPLE

Iterates, starting with 00:

00

0010

00101100

001011001101100010

0010110011011000101101100110110001001100

MATHEMATICA

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

w[n_] := StringReplace[w[n - 1], {"00" -> "0010", "1" -> "110"}]

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

st = ToCharacterCode[w[11]] - 48   (* A288306 *)

Flatten[Position[st, 0]]  (* A288307 *)

Flatten[Position[st, 1]]  (* A288308 *)

Table[StringLength[w[n]], {n, 1, 35}] (* A288309 conjectured *)

CROSSREFS

Cf. A288307, A288308, A288309.

Sequence in context: A214090 A072784 A092436 * A164056 A286059 A163539

Adjacent sequences:  A288303 A288304 A288305 * A288307 A288308 A288309

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 09 2017

STATUS

approved

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Last modified May 9 13:42 EDT 2021. Contains 343742 sequences. (Running on oeis4.)