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A189209
Zero-one sequence based on the sequence of odd primes: a(A065091(k))=a(k); a(v(k))=1-a(k), where v=A065090 and a(1)=0, a(2)=1.
4
1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0
OFFSET
1
MATHEMATICA
u[n_] := Prime[n+1]; (*A065091*)
a[1] = 0; a[2]=1; h = 128;
c = (u[#1] &) /@ Range[2h];
d = (Complement[Range[Max[#1]], #1] &)[c]; (*A065090*)
Table[a[d[[n]]] = 1 - a[n], {n, 1, h - 1}]; (*A189209*)
Table[a[c[[n]]] = a[n], {n, 1, h}] (*A189209*)
Flatten[Position[%, 0]] (*A189210*)
Flatten[Position[%%, 1]] (*A189211*)
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Apr 18 2011
STATUS
approved