A191255 Fixed point of the morphism 0 -> 01, 1 -> 02, 2 -> 03, 3 -> 01.

0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2

Offset

1,4

Comments

See A191250.

Links

Table of n, a(n) for n=1..132.

Formula

a(n) = 0 for odd n; a(n) == A007814(n) (mod 3) for even n. - Jianing Song, Sep 21 2018

Mathematica

t = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {0, 2}, 2 -> {0, 3}, 3 -> {0, 1}}] &, {0}, 9] (* A191255 *)
Flatten[Position[t, 0]] (* A005408, the odds *)
a = Flatten[Position[t, 1]] (* A067368 *)
b = Flatten[Position[t, 2]] (* A213258 *)
a/2  (* A191257 *)
b/4  (* a/2 *)

Crossrefs

Cf. A191250.

Positions of 0 or 3: A191257; positions of 1: A067368; positions of 2: A213258.

Sequence in context: A346070 A191258 A254990 * A007814 A265330 A272216

Adjacent sequences: A191252 A191253 A191254 * A191256 A191257 A191258

Keyword

nonn

Author

Clark Kimberling, May 28 2011

Status

approved