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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,8

LINKS

Table of n, a(n) for n=1..105.

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

Adjacent sequences:  A073065 A073066 A073067 * A073069 A073070 A073071

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Aug 17 2002

STATUS

approved

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Last modified June 20 09:40 EDT 2021. Contains 345162 sequences. (Running on oeis4.)