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Problem of the Day #27: Solution to a nonlinear recurrence April 15, 2011

Posted by Mitchell in : potd , trackback

Given that the sequence $\{a_{n}\}_{n=0}^\infty$ satisfies $a_0 = 1$ and $a_{n+1} – a_n =2^n a_{n}^2$ for all $n \geq 0$, find a closed-form expression for $a_n$.

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