A189163 Zero-one sequence based on the sequence n(n+1): a(A002378(k))=a(k); a(A078358(k))=1-a(k), a(1)=0.

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

Offset

1

Links

Table of n, a(n) for n=1..97.

Mathematica

u[n_] := n(n+1);  (*A002378*)
a[1] = 0; h = 128;
c = (u[#1] &) /@ Range[2h];
d = (Complement[Range[Max[#1]], #1] &)[c]; (*A078358*)
Table[a[d[[n]]] = 1 - a[n], {n, 1, h - 1}]; (*A189163*)
Table[a[c[[n]]] = a[n], {n, 1, h}]   (*A189163*)
Flatten[Position[%, 0]]  (*A189164*)
Flatten[Position[%%, 1]] (*A189165*)

Crossrefs

Cf. A188967, A189164, A189165.

Sequence in context: A189126 A118268 A143220 * A189129 A267269 A187972

Adjacent sequences: A189160 A189161 A189162 * A189164 A189165 A189166

Keyword

nonn

Author

Clark Kimberling, Apr 17 2011

Status

approved