[seqfan] Re: About A060465 (solutions to n = x^3 + y^3 + z^3)

[Jean-François Alcover]

2012/7/3 Richard Mathar <mathar at strw.leidenuniv.nl>

>
> > From seqfan-bounces at list.seqfan.eu Tue Jul  3 11:42:34 2012
> > Date: Tue, 3 Jul 2012 11:42:22 +0200
> > Subject: [seqfan] About A060465 (solutions to n = x^3 + y^3 + z^3)
> >
> > About A060465 (solutions to n = x^3 + y^3 + z^3) :
> > I'd like to know the reason why solution x=a(12)=-511 (n=16 y=-1609
> z=1626)
> > is in the sequence instead of x=0 (y=2 z=2), which fits the constraints
> > given in the definition with smaller |z| and |y| ?
>
> I suspect that only primitive solutions with gcd(x,y,z) not a divisor of n
> are considered.
>
> In that case, solution 8 = 0^3 + 0^3 + 2^3 should not be considered either