CS 330 - Discrete Structures

Generating Functions Examples

The Binomial Theorem Cont.

  Example:  
    We apply the procedure to the expression
 
    where we let a = 1, b = (-3x2 ), and n = -1:
   
  Since there are no odd powers of x, the expression is the
generating function for the sequence
    S = {1, 0, 3, 0 , 32 , 0 , 33, 0, ...}
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