Date: Feb 2, 2013 10:34 AM
Author: apovolot@gmail.com
Subject: sum(eulerphi(n)/n!,n=1...infinity) = 5*sqrt(Pi)/3 -1  ????

Hi,

How close gets
sum(eulerphi(n)/n!,n=1...infinity) 
to 
5*sqrt(Pi)/3 -1
????

Regular (free that is) WolframAlpha gives only few decimal digits via partial sums ("show points" option) and times out without direct evaluation of the sum ...

Regards,
ARP