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 Show that $$3^n \cos (n \cdot \arccos(1/3)) \in \mathbb{Z}$$ and not divisible by $$3$$
04-29-2010, 10:39 AM
Post: #1
 elim Moderator Posts: 578 Joined: Feb 2010 Reputation: 0
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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