Egyptian-Fraction Expansions Of REALS

[Richard Guy]

I haven't been paying much attention to this,
so may be barking up a different tree.

Has attention been given to expressing a
positive real as the sum of distinct
egyptian fractions less than one?

For example pi =

{2,3,4,...,33,34,43,7884,99771155,16909840222780252,...}

(or thereabouts)

Of course, we all know why unit fractions are
called `egyptian fractions' -- from the
Hungarian `egy' for one.    R.

On Wed, 21 Jan 2004, Jud McCranie wrote:

> At 07:18 PM 1/21/2004, Leroy Quet wrote:
> For instance, how would the EF-expansion of pi (or pi-3) compare with
> >that of 1/pi?
> 
> I expect it to be completely different.
> 
>