A189632 Fixed point starting with 0 of the morphism 0->001, 1->100.

0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0

Offset

1

Links

Table of n, a(n) for n=1..122.

Formula

a(3k-2)=a(k), a(3k-1)=0, a(3k)=1-a(k) for k>=1, a(1)=0. [Corrected by Michel Dekking, Sep 15 2019]

Example

0->001->001001100->...

Mathematica

t = Nest[Flatten[# /. {0->{0, 0, 1}, 1->{1, 0, 0}}] &, {0}, 5] (* A189632 *)
f[n_] := t[[n]]
Flatten[Position[t, 0]] (* A189633 *)
Flatten[Position[t, 1]] (* A189634 *)
s[n_] := Sum[f[i], {i, 1, n}]; s[0] = 0;
Table[s[n], {n, 1, 120}] (* A189635 *)

Crossrefs

Cf. A189628, A189633, A189634, A189635.

Sequence in context: A116178 A028999 A091244 * A364251 A365421 A131378

Adjacent sequences: A189629 A189630 A189631 * A189633 A189634 A189635

Keyword

nonn

Author

Clark Kimberling, Apr 24 2011

Extensions

Name clarified by Michel Dekking, Sep 15 2019

Status

approved