Perfect Squares

Wait, what? We cant just multiply?

A perfect square is a number that can be expressed as the product of two equal integer for example 4, 9, 16, 25 are perfect squares for 2, 3, 4 and 5 respectively.

Alex is trying to develop a circuit which generates a perfect square every clock cycle as shown:

4 → 9 → 16 → 25 → 36 → 49 → 64 → 81 → ...

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