Day 13: Choosing Christmas Baubles

I am picking baubles for my tree. I have five different types of baubles. In a particular row I want to place \(7\) baubles, but adjacent baubles cannot be of the same type and the first and last baubles must be the same type.

In how many ways can I arrange my \(7\) baubles?

This problem is part of the set Advent Calendar 2014.

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