A189301 Zero-one sequence based on A026147: a(A026147(k))=a(k); a(A181155(k))=1-a(k), a(1)=0.

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

Offset

1

Comments

First, the sequences of odd and even positive integers are used to generate the Thue-Morse sequence A010060, in which the positions of 0 comprise A026147 and those of 1 comprise A181155. The procedure is then repeated starting with those two sequences, resulting in A189301.

Links

Table of n, a(n) for n=1..136.

Mathematica

u[n_] := 2 n - 1; a[1] = 0; h = 400;
c = (u[#1] &) /@ Range[h]; (*A005408*)
d = (Complement[Range[Max[#1]], #1] &)[c]; (*A005843*)
Table[a[d[[n]]] = 1 - a[n], {n, 1, h - 1}]; (*Thue-Morse: A010060*)
Table[a[c[[n]]] = a[n], {n, 1, h}] (*A010060*)
c = Flatten[Position[%, 0]] (*A026147*)
d = Flatten[Position[%%, 1]] (*A181155*)
a[1] = 0; h = 200
Table[a[d[[n]]] = 1 - a[n], {n, 1, h - 1}]; (*A189301*)
Table[a[c[[n]]] = a[n], {n, 1, h}] (*A189301*)
c = Flatten[Position[%, 0]] (*A189302*)
d = Flatten[Position[%%, 1]] (*A189303*)

Crossrefs

Cf. A188967, A005408, A010060, A026147, A181155, A189302, A189303.

Sequence in context: A308185 A159689 A174282 * A123640 A022924 A295893

Adjacent sequences: A189298 A189299 A189300 * A189302 A189303 A189304

Keyword

nonn

Author

Clark Kimberling, Apr 19 2011

Status

approved