title: Find the number of nodes of n-element heap of given height
body: <p>We have came across a question in <strong>Thomas H. Cormen</strong>  which are asking for showing 
   <img src="https://i.stack.imgur.com/VROX2.png" alt="enter image description here"></p>
  
  <p>Here I am confused by this question that how there will be at most nodes <img src="https://i.stack.imgur.com/O3OBp.png" alt="enter image description here"></p>
  
  <p>For instance, consider this problem:
     <img src="https://i.stack.imgur.com/cugxD.png" alt="enter image description here"></p>
  
  <p>In the above problem at height 2 there are 2 nodes. But if we calculate by formula: </p>
  
  <pre><code>Greatest Integer of  (10/2^2+1) = 4 
  </code></pre>
  
  <p>it does not satisfy <strong>Thomas H. Cormen</strong> questions.</p>
  
  <p>Please correct me if I am wrong here.</p>
  
  <p><strong>Thanks in Advance</strong></p>