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A189028 Zero-one sequence based on the sequence (5n-4):  a(A016861(k))=a(k); a(A047203(k))=1-a(k); a(1)=0. 3
0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

LINKS

Table of n, a(n) for n=1..128.

EXAMPLE

Let u=A016861 and v=A047203, so that u(n)=5n-4 and v=complement(u) for n>=1.  Then a is a self-generating zero-one sequence with initial value a(1)=0 and a(u(k))=a(k); a(v(k))=1-a(k).

MATHEMATICA

u[n_] := 5n-4;  (*A016861*)

a[1] = 0; h = 128;

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

d = (Complement[Range[Max[#1]], #1] &)[c]; (*A047203*)

Table[a[d[[n]]] = 1 - a[n], {n, 1, h - 1}];

Table[a[c[[n]]] = a[n], {n, 1, h}]   (*A189028*)

Flatten[Position[%, 0]]  (*A189029*)

Flatten[Position[%%, 1]] (*A189030*)

CROSSREFS

Cf. A188967, A189029, A189030.

Sequence in context: A276793 A285515 A190204 * A301850 A189031 A189212

Adjacent sequences:  A189025 A189026 A189027 * A189029 A189030 A189031

KEYWORD

nonn

AUTHOR

Clark Kimberling, Apr 15 2011

STATUS

approved

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Last modified September 15 18:22 EDT 2019. Contains 327082 sequences. (Running on oeis4.)