A189727 Fixed point of the morphism 0->011, 1->110.

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

Offset

1

Links

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

Formula

a(3k-2)=a(k), a(3k-1)=1, a(3k)=1-a(k) for k>=1, a(0)=0.

Example

0->011->011110110->

Mathematica

t = Nest[Flatten[# /. {0->{0, 1, 1}, 1->{1, 1, 0}}] &, {0}, 5] (*A189727*)
f[n_] := t[[n]]
Flatten[Position[t, 0]] (*A189728*)
Flatten[Position[t, 1]] (*A189729*)
s[n_] := Sum[f[i], {i, 1, n}]; s[0] = 0;
Table[s[n], {n, 1, 120}] (*A189730*)

Crossrefs

Cf. A189628, A189728, A189729, A189730.

Sequence in context: A332823 A354817 A053867 * A361113 A268411 A069513

Adjacent sequences: A189724 A189725 A189726 * A189728 A189729 A189730

Keyword

nonn

Author

Clark Kimberling, Apr 26 2011

Status

approved