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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A289001 Fixed point of the mapping 00->0010, 01->001, 10->010, starting with 00. 5
 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1 COMMENTS Conjecture:  the number of letters (0's and 1's) in the n-th iterate of the mapping is given by A289004. Apparently a duplicate of A171588. The first 5000 entries (at least) are the same. - R. J. Mathar, Jul 07 2017 LINKS Clark Kimberling, Table of n, a(n) for n = 1..10000 EXAMPLE The first seven iterates of the mapping: 00 0010 0010010 00100100010 001001000100100010 0010010001001000100100100010010 0010010001001000100100100010010001001001000100100010 MATHEMATICA z = 10; (* number of iterates *) s = {0, 0}; w[0] = StringJoin[Map[ToString, s]]; w[n_] := StringReplace[w[n - 1], {"00" -> "0010", "01" -> "001", "10" -> "010"}] TableForm[Table[w[n], {n, 0, 10}]] st = ToCharacterCode[w[z]] - 48   (* A289001 *) Flatten[Position[st, 0]]  (* A001951 conjectured *) Flatten[Position[st, 1]]  (* A001952 conjectured *) Table[StringLength[w[n]], {n, 0, 20}] (* A289004 *) CROSSREFS Cf. A001951, A001952, A289004. Sequence in context: A288203 A238470 A286748 * A171588 A289035 A276397 Adjacent sequences:  A288998 A288999 A289000 * A289002 A289003 A289004 KEYWORD nonn,easy AUTHOR Clark Kimberling, Jun 25 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.

Last modified May 31 02:51 EDT 2020. Contains 334747 sequences. (Running on oeis4.)