1992 OIM Problems/Problem 4

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Problem

Let $(a_n)$ and $(b_n)$ be two sequences of integers that verify the following conditions:

i. $a_0 = 0$, $b_0 = 8$

ii. $a_1 = 2$

iii. $a_n$ is a perfect square for all $n$

NOTE: my source made an error here and the text after the conditions is a problem from the previous year. It's a mistake in my source below. Therefore, this problem statement is incomplete. If you can find the source for this problem please correct it and complete it

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also

https://www.oma.org.ar/enunciados/ibe7.htm