## Problem of the Day #210: Albert’s Sequence
*October 15, 2011*

*Posted by Billy in : potd , trackback*

Albert has a sequence defined by \[\begin{align*}a_0 &= a_1 = a_2 = 0 \\ a_3 &= 1 \\ a_n &= 3 a_{n-2} - a_{n-4}.\end{align*}\] Find $a_{31}$.

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