A189097 - OEIS

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A189097

Zero-one sequence based on the sequence (3k-1): a(A016789(k))=a(k); a(A032766(k))=1-a(k), a(1)=0.

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

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OFFSET

LINKS

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

MATHEMATICA

u[n_] := 3n-1; (*A016789*)

a[1] = 0; h = 128;

c = (u[#1] &) /@ Range[2h];

d = (Complement[Range[Max[#1]], #1] &)[c]; (*A032766*)

Table[a[d[[n]]] = 1 - a[n], {n, 1, h - 1}]; (*A189097*)

Table[a[c[[n]]] = a[n], {n, 1, h}] (*A189097*)

Flatten[Position[%, 0]] (*A189098*)