What Causes 2n^2 Vacancies in Atomic Orbitals?

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motoroller
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Having a mental block, I should know the answer but can't remember!

Why are there 2n^2 vacancies for each value of n in an atom?

The factor of two is due to degeneracy in s, and one factor of n comes from angular orbitals, 0<=L<=(n-1), which gives n states (2L+1=n), but where does the second factor of n come from?
 
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