[seqfan] Sum of omega(k) for k = 1..n

Charles Greathouse charles.greathouse at case.edu
Thu Jan 12 01:32:10 CET 2012


Regarding A013939, what is the limit of

(A013939(n) - n log log n)/n

?  Is this constant (roughly a quarter, I think) in the OEIS?

I wrote

a(n) = n log log n + O(n).

but it should really be

a(n) = n log log n + kn + o(n).

for some k.

Charles Greathouse
Analyst/Programmer
Case Western Reserve University



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