A189289 Zero-one sequence based on the sequence (4n): a(A008586(k))=a(k); a(A042968(k))=1-a(k), a(1)=0, a(2)=0, a(3)=0.

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

Offset

1

Links

Table of n, a(n) for n=1..135.

Mathematica

u[n_] := 4n;  (*A008586*)
a[1] = 0; a[2]=0; a[3]=0; h = 128;
c = (u[#1] &) /@ Range[2h];
d = (Complement[Range[Max[#1]], #1] &)[c]; (*A042968*)
Table[a[d[[n]]] = 1 - a[n], {n, 1, h - 1}]; (*A189289*)
Table[a[c[[n]]] = a[n], {n, 1, h}]   (*A189289*)
Flatten[Position[%, 0]]  (*A189290*)
Flatten[Position[%%, 1]] (*A189291*)

Crossrefs

Cf. A188967, A189290, A189291, A189292, A189295, A189298.

Sequence in context: A341517 A065333 A244611 * A270885 A353682 A359247

Adjacent sequences: A189286 A189287 A189288 * A189290 A189291 A189292

Keyword

nonn

Author

Clark Kimberling, Apr 19 2011

Status

approved