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Because <math>a_k</math> may be 0, we will see cases of  <math>\binom{k-1}{-1}</math> when  <math>a_k=0</math>.  This is alright because of the definition of  <math>\binom{n}{r}</math>.
 
Because <math>a_k</math> may be 0, we will see cases of  <math>\binom{k-1}{-1}</math> when  <math>a_k=0</math>.  This is alright because of the definition of  <math>\binom{n}{r}</math>.
But to make it more readable, we can define the function equivalently as:
+
But to make it more sensible, we can define the function equivalently as:
    
<math>
 
<math>
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