Red Perimeter 1 – Extend the Pattern

Given \( n \times n \) squares made out of \( 1 \times 1 \) unit squares with the perimeter of the \( n \times n \) square painted red, some of the \( 1 \times 1 \) squares will be painted on 2 sides, some on only 1 side, and some won't be painted at all.

How many unit squares will be painted red on only 1 side in a \( 4 \times 4 \) square (not pictured)?


This problem is part of Arron's set The Red Perimeter.

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