Question: Write the recurrence and solve it exactly. Consider the algorithm that starts with a single square and on each of its n iterations adds new

Write the recurrence and solve it exactly.
Consider the algorithm that starts with a single square and on each of its n iterations adds new squares all around the outside. How many one-by-one squares are there after n iterations? [Gar99](In the parlance of cellular automata theory, the answer is the number of cells in the von Neumann neighborhood of range n.)

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