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If k is the height of an AVL Tree, the minimal number of inner nodes is: N(k) = N(k-1) + N(k-2) +1.

Why is this formula true?

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    $\begingroup$ What have you tried? Where did you get stuck? We do not want to just hand you the solution; we want you to gain understanding. However, as it is we do not know what your underlying problem is, so we can not begin to help. See here for tips on asking questions about exercise problems. If you are uncertain how to improve your question, why not ask around in Computer Science Chat? $\endgroup$ – Raphael Dec 15 '17 at 12:16
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    $\begingroup$ Hint: proof by induction. $\endgroup$ – Raphael Dec 15 '17 at 12:16
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