sum of 1/A007504(n)
Max Alekseyev
maxale at gmail.com
Wed May 16 10:31:43 CEST 2007
Jack,
Where this A comes from? Are all its listed digits correct?
It is important as the result depends on the (numerical) value of A.
Max
On 5/14/07, Jack Brennen <jb at brennen.net> wrote:
> The sum in question appears to be asymptotic to:
>
> integral from A to N of
>
> -1/(log(x)*eint1(-2*log(x))) dx
>
> where A ~ 1.6281669079467875
>
> And the integral appears to converge (as N -> infinity) to:
>
> 1.0234763239201...
>
>
> (All of which assumes that I trust the PARI/GP implementation of numeric
> integration...)
>
>
> Jack
>
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