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The sequences of integers $\left(a_n\right)$ and $\left(b_n\right)$ have the following properties:

(i) $a_0=0, b_0=8$;
(ii) $a_{n+2}=2 a_{n+1}-a_n+2, b_{n+2}=2 b_{n+1}-b_n$ for $n>0$;
(iii) $a_n^2+b_n^2$ is a square for all $n$.

Find at least two possible values for $\left(a_{1992}, b_{1992}\right)$.
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