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A284932 Fixed point of the mapping 00->001, 1->10, starting with 00. 7
0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

The number of letters (0's and 1's) in the n-th iterate, beginning with 2,3,5,8,13, is given by A286938, which appears to be the same as A164457 except for initial 2,3,5.

LINKS

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

EXAMPLE

Iterates, starting with 00:

00

001

00110

00110100

0011010010001

001101001000110001010

001101001000110001010100010100100

MATHEMATICA

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

w[n_] := StringReplace[w[n - 1], {"00" -> "001", "1" -> "10"}]

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

st = ToCharacterCode[w[11]] - 48   (* A284932 *)

Flatten[Position[st, 0]]  (* A285352 *)

Flatten[Position[st, 1]]  (* A285303 *)

Table[StringLength[w[n]], {n, 1, 35}] (* A286938 *)

CROSSREFS

Cf. A285352, A285303, A286938, A164457.

Sequence in context: A284487 A156660 A155899 * A117814 A257000 A062301

Adjacent sequences:  A284929 A284930 A284931 * A284933 A284934 A284935

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 03 2017

STATUS

approved

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Last modified November 27 14:10 EST 2020. Contains 338683 sequences. (Running on oeis4.)