8 Nov 2013

OEMO 2001 Advanced Q4: Upper Secondary Mathematics Competition Question

Let A0 = {1, 2} and for n > 0 let An be the set of all numbers that are either elements of An-1 or can be represented as the sum of two distinct elements of An-1.

Further let an = |An| be the number of elements of An.

Determine an as a function of n.

[OEMO 2001 Advanced Q4]

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