_{0}= {1, 2} and for n > 0 let A

_{n}be the set of all numbers that are either elements of A

_{n-1}or can be represented as the sum of two distinct elements of A

_{n-1}.

Further let a

_{n}= |A

_{n}| be the number of elements of A

_{n}.

Determine a

_{n}as a function of n.

[OEMO 2001 Advanced Q4]

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