A189289 - OEIS

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A189289

Zero-one sequence based on the sequence (4n): a(A008586(k))=a(k); a(A042968(k))=1-a(k), a(1)=0, a(2)=0, a(3)=0.

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

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OFFSET

LINKS

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

MATHEMATICA

u[n_] := 4n; (*A008586*)

a[1] = 0; a[2]=0; a[3]=0; h = 128;

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

d = (Complement[Range[Max[#1]], #1] &)[c]; (*A042968*)

Table[a[d[[n]]] = 1 - a[n], {n, 1, h - 1}]; (*A189289*)

Table[a[c[[n]]] = a[n], {n, 1, h}] (*A189289*)

Flatten[Position[%, 0]] (*A189290*)