How many unit cubes are visible on a \(7\times 7\times 7\) cube?

For example,

- the \(2\times 2\times 2\) cube has 8 visible unit cubes;
- the \(3\times 3\times 3\) cube has 26 visible unit cubes;
- the \(4\times 4\times 4\) cube has 56 visible unit cubes;

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