Ononot — A recurrence has characteristic roots r = 2e^{i\pi/6} and r

Recurrence Relationshard

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A recurrence has characteristic roots $r = 2e^{i\pi/6}$ and $r = 2e^{-i\pi/6}$ (complex conjugates with magnitude 2 and argument $\pm\pi/6$ ). How does the sequence behave?