Suppose that the function satisfies the recurrence


Question: Suppose that the function ƒ satisfies the recurrence relation ƒ(n) = 2ƒ(√n) + 1 whenever n is a perfect square greater than 1 and ƒ(2) = 1.

a) Find ƒ(16).

b) Give a big-O estimate for ƒ(n)

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Mathematics: Suppose that the function satisfies the recurrence
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