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A286063 Fixed point of the mapping 00->001, 1->100, starting with 00. 3
0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0 (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 A042950.

LINKS

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

EXAMPLE

Iterates, starting with 00:

00

001

001100

001100100001

001100100001100001001100

001100100001100001001100100001001100001100100001

MATHEMATICA

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

w[n_] := StringReplace[w[n - 1], {"00" -> "001", "1" -> "100"}]

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

st = ToCharacterCode[w[11]] - 48   (* A286063 *)

Flatten[Position[st, 0]]  (* A286727 *)

Flatten[Position[st, 1]]  (* A286728 *)

Table[StringLength[w[n]], {n, 1, 35}] (* A042950 *)

CROSSREFS

Cf. A286727, A286728, A042950.

Sequence in context: A175337 A285031 A327222 * A278587 A188257 A132380

Adjacent sequences:  A286060 A286061 A286062 * A286064 A286065 A286066

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 05 2017

STATUS

approved

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Last modified November 18 04:44 EST 2019. Contains 329248 sequences. (Running on oeis4.)