login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A289242 Fixed point of the mapping 00->0010, 01->100, 10->100, starting with 00. 3
0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

Conjecture: the number of letters (0s and 1s) in the n-th iterate of the mapping is given by A289004.

LINKS

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

EXAMPLE

The first six iterates of the mapping:

00

0010

0010100

00101001000

001010010010000100

0010100100100001010000101000010

MATHEMATICA

z = 11; (* number of iterates *)

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

w[n_] := StringReplace[w[n - 1], {"00" -> "0010", "01" -> "100", "10" -> "100"}]

TableForm[Table[w[n], {n, 0, 10}]]

st = ToCharacterCode[w[z]] - 48   (* A289242 *)

Flatten[Position[st, 0]]  (* A289243 *)

Flatten[Position[st, 1]]  (* A289244 *)

Table[StringLength[w[n]], {n, 0, 20}] (* A289004 *)

CROSSREFS

Cf. A289243, A289244, A289004.

Sequence in context: A289071 A287931 A289074 * A188037 A144598 A144606

Adjacent sequences:  A289239 A289240 A289241 * A289243 A289244 A289245

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jul 01 2017

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 26 08:53 EDT 2019. Contains 322472 sequences. (Running on oeis4.)