login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A288596 Fixed point of the mapping 00->0101, 10->1000, starting with 00. 4
0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

LINKS

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

EXAMPLE

Iterates, starting with 00:

00

0101

010001

0100001011

0100001010100011

0100001010100010001000010111

Conjecture: the number of letters (0's and 1's) in the n-th iterate is given by A288599(n).

MATHEMATICA

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

w[n_] := StringReplace[w[n - 1], {"00" -> "0101", "10" -> "1000"}]

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

st = ToCharacterCode[w[11]] - 48   (* A288596 *)

Flatten[Position[st, 0]]  (* A288597 *)

Flatten[Position[st, 1]]  (* A288598 *)

Table[StringLength[w[n]], {n, 1, 35}] (* A288599 conjectured *)

CROSSREFS

Cf. A288597, A288598, A288599.

Sequence in context: A187969 A132151 A238469 * A284745 A103588 A153638

Adjacent sequences:  A288593 A288594 A288595 * A288597 A288598 A288599

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 14 2017

EXTENSIONS

Definition corrected by Georg Fischer, May 28 2021

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 December 6 06:14 EST 2021. Contains 349563 sequences. (Running on oeis4.)