A284932 Fixed point of the mapping 00->001, 1->10, starting with 00.

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

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