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Topic: sum(eulerphi(n)/n!,n=1...infinity) = 5*sqrt(Pi)/3 -1 ????
Replies: 6   Last Post: Feb 2, 2013 5:14 PM

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 Rouben Rostamian Posts: 17 Registered: 12/13/04
Re: sum(eulerphi(n)/n!,n=1...infinity) = 5*sqrt(Pi)/3 -1 ????
Posted: Feb 2, 2013 1:18 PM

<apovolot@gmail.com> wrote:
>How close gets
>sum(eulerphi(n)/n!,n=1...infinity)
>to
>5*sqrt(Pi)/3 -1

For the sum of 20 terms Maple gives 84894610559376853 / 43444678717440000.
The difference from 5*sqrt(Pi)/3 -1 is approximately 0.000004393633187.
Repeating with 10,000 terms results in the same difference. So I guess

--
Rouben Rostamian

Date Subject Author
2/2/13 apovolot@gmail.com
2/2/13 jacob navia
2/2/13 jacob navia
2/2/13 Rouben Rostamian
2/2/13 Axel Vogt
2/2/13 jacob navia
2/2/13 Axel Vogt