A189212 Zero-one sequence based on the hexagonal numbers: a(A000384(k))=a(k); a(v(k))=1-a(k), where v=A183218 and a(1)=0.

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

Offset

1

Links

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

Mathematica

u[n_] := n(2n-1);  (*A000384*)
a[1] = 0; h = 128;
c = (u[#1] &) /@ Range[2h];
d = (Complement[Range[Max[#1]], #1] &)[c]; (*A183218*)
Table[a[d[[n]]] = 1 - a[n], {n, 1, h - 1}]; (*A189212*)
Table[a[c[[n]]] = a[n], {n, 1, h}]   (*A189212*)
Flatten[Position[%, 0]]  (*A189213*)
Flatten[Position[%%, 1]] (*A189214*)

Crossrefs

Cf. A188967, A189213, A189214, A000384.

Sequence in context: A189028 A301850 A189031 * A147781 A327216 A288640

Adjacent sequences: A189209 A189210 A189211 * A189213 A189214 A189215

Keyword

nonn

Author

Clark Kimberling, Apr 18 2011

Status

approved