A189141 Zero-one sequence based on the primes: a(A000040(k))=a(k); a(A002808(k))=1-a(k), a(1)=0.

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

Offset

1

Links

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

Mathematica

r=Prime[n]; u[n_] := Floor[n*r];  (*A000040*)
a[1] = 0; h = 128;
c = (u[#1] &) /@ Range[2h];
d = (Complement[Range[Max[#1]], #1] &)[c]; (*A002808*)
Table[a[d[[n]]] = 1 - a[n], {n, 1, h - 1}]; (*A189141*)
Table[a[c[[n]]] = a[n], {n, 1, h}]   (*A189141*)
Flatten[Position[%, 0]]  (*A189142*)
Flatten[Position[%%, 1]] (*A189143*)

Crossrefs

Cf. A188967, A189142, A189143, A000040, A002808.

Sequence in context: A079295 A088025 A192687 * A082416 A093996 A323095

Adjacent sequences: A189138 A189139 A189140 * A189142 A189143 A189144

Keyword

nonn

Author

Clark Kimberling, Apr 17 2011

Status

approved