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A188970 Zero-one sequence based on (4n-3): a(A016813(k))=a(k); a(A004772(k))=1-a(k); a(1)=0. 3
0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

Let u=A016813 and v=A004772, so that u(n)=4n-3 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).

LINKS

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

MATHEMATICA

u[n_] := 4n - 3;  (*A016813*)

a[1] = 0; h = 128;

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

d = (Complement[Range[Max[#1]], #1] &)[c]; (*A004772*)

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

Table[a[c[[n]]] = a[n], {n, 1, h}]   (*A188970*)

Flatten[Position[%, 0]]  (*A188971*)

Flatten[Position[%%, 1]] (*A188972*)

CROSSREFS

Cf. A188971, A188972.

Sequence in context: A316832 A086747 A188973 * A244992 A286685 A284878

Adjacent sequences:  A188967 A188968 A188969 * A188971 A188972 A188973

KEYWORD

nonn

AUTHOR

Clark Kimberling, Apr 14 2011

STATUS

approved

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Last modified September 28 15:59 EDT 2021. Contains 347716 sequences. (Running on oeis4.)