A189209 Zero-one sequence based on the sequence of odd primes: a(A065091(k))=a(k); a(v(k))=1-a(k), where v=A065090 and a(1)=0, a(2)=1.

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

Offset

1

Links

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

Mathematica

u[n_] := Prime[n+1];  (*A065091*)
a[1] = 0; a[2]=1; h = 128;
c = (u[#1] &) /@ Range[2h];
d = (Complement[Range[Max[#1]], #1] &)[c];  (*A065090*)
Table[a[d[[n]]] = 1 - a[n], {n, 1, h - 1}]; (*A189209*)
Table[a[c[[n]]] = a[n], {n, 1, h}]   (*A189209*)
Flatten[Position[%, 0]]  (*A189210*)
Flatten[Position[%%, 1]] (*A189211*)

Crossrefs

Cf. A188967, A189206, A189210, A189211.

Sequence in context: A284471 A135022 A286726 * A266754 A071982 A266588

Adjacent sequences: A189206 A189207 A189208 * A189210 A189211 A189212

Keyword

nonn

Author

Clark Kimberling, Apr 18 2011

Status

approved