A135611

[Alexander Povolotsky]

Sorry -  I made a typo in my previous email ;-)

and that is why connection to A135611 was lost ...

I meant

(2-x)^(1/(2+x)) + (3-x)^(1/(2+x)) = Pi

AP

On Tue, Mar 4, 2008 at 5:04 PM, Olivier Gerard <olivier.gerard at gmail.com> wrote:
> Dear Alexander,
>
> There are at least 2 solutions for your equations, and they are
> quite easy to approximate at a given precision
>
> x= 1.632749856906240069978502579231322509272902738227...
>
> and
>
> x= -1.68336766284100539169447095157122597748337195563...
>
> but there can be none, real, of smaller absolute value.
>
>
>
>
> On Tue, Mar 4, 2008 at 10:32 PM, Alexander Povolotsky <apovolot at gmail.com>
> wrote:
> > Neal,
> >
> >  - re A135611
> >
> > I presume that a quite small fractional (considerably less than 1)
> > transcendental number "x" exists such that:
> >
> > (2-x)^(2+x) + (3-x)^(2+x) = Pi
> >
> > Was it ever calculated to reasonable number of digits accuracy ?
> >
> > Regards,
> > Alexander R. Povolotsky
> >
>
>