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A073068
Minimum value of abs(n-x*tau(x)) x>0.
0
0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 3, 4, 3, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 3, 2, 1, 0, 1, 2, 3, 4, 5, 4, 3, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 4, 5, 4, 3, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 1, 0, 1, 2, 3, 4, 5, 4, 3, 2, 1, 0, 1
OFFSET
1,8
FORMULA
a(A036438(n))=0 . It seems that sum(k=1, n, a(k)) is asymptotic to C*n with 1.5<C<2
PROG
(PARI) a(n)=vecmin(vector(n, k, abs(n-k*numdiv(k))))
CROSSREFS
Sequence in context: A317854 A317742 A118777 * A166006 A330935 A208769
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Aug 17 2002
STATUS
approved