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For questions about sequences of integers. References are often made to the online resource oeis.org.
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A question about integer triples
$(qr+rp+pq)(x^2+y^2+z^2)=(p^2+q^2+r^2)(yz+zx+xy)$
$m,n,p,q,r$ are arbitrary.
Substitute $ x=t+p, y=mt+q, z=nt+r$ to above equation,
then we get $$\scriptsize{t = \frac{(r^2q+2qrp-p^3-q^3-q^2p+r^2p- …