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

[Richard Mathar]

> 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.