A135611

[Robert Israel]

I don't know what this has to do with A135611.
A plot of the left side of your equation shows that on the
interval (-1,1) it is always greater than pi.  The smallest
positive solution is approximately 1.632749857.

Cheers,
Robert

On Tue, 4 Mar 2008, Alexander Povolotsky 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
>