A191254 Fixed point of the morphism 0 -> 01, 1 -> 02, 2 -> 01.

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

Offset

1,4

Comments

For related sequences, see notes in the Mathematica program.

Links

Antti Karttunen, Table of n, a(n) for n = 1..65537

Mathematica

t = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {0, 2}, 2 -> {0, 1}}] &, {0}, 9]  (* A191254 *)
Flatten[Position[t, 0]]  (* A005408, the odds *)
a = Flatten[Position[t, 1]] (* A036554 *)
b = Flatten[Position[t, 2]] (* A108269 *)
a/2 (* A003159 *)
b/4 (* A003159 *)

Prog

(PARI) A191254(n) = if(n%2, 0, if(valuation(n, 2)%2, 1, 2)); \\ Antti Karttunen, Nov 06 2018

Crossrefs

Cf. A191250.

Sequence in context: A292252 A244415 A104975 * A106404 A292242 A280800

Adjacent sequences: A191251 A191252 A191253 * A191255 A191256 A191257

Keyword

nonn

Author

Clark Kimberling, May 28 2011

Status

approved