njas Re: 2 puzzles What??

[Pfoertner, Hugo]

-----Ursprüngliche Nachricht-----
Von: parabola at paradise.net.nz [mailto:parabola at paradise.net.nz]
Gesendet am: 18 July, 2003 13:36
An: njas at research.att.com; seqfan at ext.jussieu.fr;
don.mcdonald at paradise.net.nz
Betreff: njas Re: 2 puzzles What??

In message <200307180956.FAA47083 at fry.research.att.com> you write:

[...]

> seqfans, gerard o, moderator,

[...]

> another mathematician posted
> subject: a/b+ b/c + c/a=n.
>
> table.
> d  e  f    n.
> ==  ==  ==  ==.
>
> [without saying what d e f meant.]
> I urge there should be a recap of relation of d e f to a b c n.

For those following the discussion in the "a/b+b/c+c/a=n" thread
the meaning of d,e,f,n was clear. It's sometimes convenient not to
repeat everything, but to keep posts short.

FYI (from Dean Hickerson's Mon 03/07/14 11:04 message)
n = (d^3+e^3+f^3)/(d e f) = 9.
This leads to the two triples
    (a,b,c) = (e^2 f, f^2 d, d^2 e)
and
    (a,b,c) = (e f^2, d e^2, f d^2)

> (Quickly,)
> thank you
> 
> don.mcdonald

Hugo