# Loog at this Familiar Recursive!

Number Theory Level 4

Consider the sequence $$a_1, a_2, a_3, \ldots$$ where

$a_1= 1, a_2 = 3, a_n = a_{n - 1} a_{n - 2}$

for $$n \geq 3$$. Calculate the remainder when $$a_{514}$$ is divided by $$11$$.

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