Show that \( 3^n \cos (n \cdot \arccos(1/3)) \in \mathbb{Z} \) and not divisible by \(3\)

04292010, 10:39 AM
Post: #1




Show that \( 3^n \cos (n \cdot \arccos(1/3)) \in \mathbb{Z} \) and not divisible by \(3\)
It's hard to decide where this problem belongs to: Algebra or Number Theory?


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