verifying A135581

[Richard Mathar]

I just posted this: (I fix a typo here.)

%I A000001
%S A000001
0,1,1,2,3,5,7,9,10,11,13,17,21,23,23,24,27,31,35,39,41,41,43,49,54,55,55,57,61,67
%N A000001 a(1)=0. For n >= 2, a(n) = a(n-1) +
|d(n)-d(n-1)|, where d(n) is the number of
positive divisors of n.
%C A000001 For any given n >= 2, a(n)/(n-1) is
the average of the |d(k)-d(k-1)|'s among all k
where 2<=k<=n.
%Y A000001 A000005,A051950
%O A000001 1
%K A000001 ,more,nonn,


 From the comment line we see that a(n)/(n-1) is
the average of the |d(k)-d(k-1)|'s among all k
where 2<=k<=n.

What I wonder is, what is a(n)/n asymptotical
towards?
(This must be a well studied topic.)

Thanks,
Leroy Quet




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