A189028 - OEIS

%I #5 Mar 30 2012 18:57:23

%S 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,

%T 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,

%U 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

%N Zero-one sequence based on the sequence (5n-4):  a(A016861(k))=a(k); a(A047203(k))=1-a(k); a(1)=0.

%e 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).

%t u[n_] := 5n-4;  (*A016861*)

%t a[1] = 0; h = 128;

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

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

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

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

%t Flatten[Position[%, 0]]  (*A189029*)

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

%Y Cf. A188967, A189029, A189030.

%K nonn

%O 1

%A _Clark Kimberling_, Apr 15 2011