A189141 - OEIS

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

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OFFSET

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*)