SE-SKOLORNAS 1974 Problem 1

Let $a_n = 2^{n-1}$ for $n > 0$ . Let $b_n = \sum\limits_{r+s \leq n} a_ra_s$ Find $b_n-b_{n-1}$ , $b_n-2b_{n-1}$ and $b_n$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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