The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A191258 Fixed point of the morphism 0->01, 1->02, 2->03, 3->001. 4

%I #7 Nov 27 2021 15:31:41

%S 0,1,0,2,0,1,0,3,0,1,0,2,0,1,0,0,1,0,1,0,2,0,1,0,3,0,1,0,2,0,1,0,1,0,

%T 2,0,1,0,2,0,1,0,3,0,1,0,2,0,1,0,0,1,0,1,0,2,0,1,0,3,0,1,0,2,0,1,0,2,

%U 0,1,0,3,0,1,0,2,0,1,0,3,0,1,0,2,0,1,0,0,1,0,1,0,2,0,1,0,3,0,1,0,2,0,1,0,1,0,2,0,1,0,2,0,1,0,3,0,1,0,2,0,1,0,0,1,0,1,0,2,0,1,0,3

%N Fixed point of the morphism 0->01, 1->02, 2->03, 3->001.

%C See A191250.

%t t = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {0, 2}, 2 -> {0, 3}, 3 -> {0, 0, 1}}] &, {0}, 10]

%t (* A191258 *)

%t Flatten[Position[t, 0]] (* A005408, the odds *)

%t Flatten[Position[t, 1]] (* A191259 *)

%t Flatten[Position[t, 2]] (* A191260 *)

%t Flatten[SubstitutionSystem[{0->{0,1},1->{0,2},2->{0,3},3->{0,0,1}},{0},{10}]] (* _Harvey P. Dale_, Nov 27 2021 *)

%Y Cf. A191250, A191259, A191260.

%K nonn,easy

%O 1,4

%A _Clark Kimberling_, May 28 2011

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 21 19:35 EDT 2024. Contains 372738 sequences. (Running on oeis4.)