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A076213
2*a(n)-1 = sign(A005132(n+1)-A005132(n)).
3
1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0
OFFSET
0,1
COMMENTS
Characteristic function of A057165 - 1. - M. F. Hasler, Jun 03 2009
FORMULA
Conjecture: let s(n)=sum(k=1, n, a(k)), then lim n ->infinity s(n)/n = 1/2; for any n, 2*s(n) > n; let v(n)=2*s(n)-n, then v(n)/log(n) is bounded and sum(k=1, n, v(k)) is asymptotic to c*n*log(n) with 1 < c < 3/2.
a(n) = 1-A160351(n+1) = (A160357(n)+1)/2. - M. F. Hasler, Jun 03 2009
CROSSREFS
Sequence in context: A267687 A304653 A132350 * A368907 A120525 A285373
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Nov 03 2002
EXTENSIONS
Added initial value a(0)=1. - M. F. Hasler, Jun 03 2009
STATUS
approved