A189624 Fixed point of the morphism 0->001, 1->10.

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

Offset

1

Links

Table of n, a(n) for n=1..144.

Example

0->001->00100110->00100110->001001100010011010001->

Mathematica

t = Nest[Flatten[# /. {0->{0, 0, 1}, 1->{1, 0}}] &, {0}, 5] (*A189624*)
f[n_] := t[[n]]
Flatten[Position[t, 0]] (*A189625*)
Flatten[Position[t, 1]] (*A189626*)
s[n_] := Sum[f[i], {i, 1, n}]; s[0] = 0;
Table[s[n], {n, 1, 120}] (*A189627*)
SubstitutionSystem[{0->{0, 0, 1}, 1->{1, 0}}, {0}, {5}][[1]] (* Harvey P. Dale, Dec 28 2023 *)

Crossrefs

Cf. A189625, A189526, A189627.

Sequence in context: A365421 A131378 A354029 * A014707 A288213 A308187

Adjacent sequences: A189621 A189622 A189623 * A189625 A189626 A189627

Keyword

nonn

Author

Clark Kimberling, Apr 24 2011

Status

approved