Using recursion, write a Java program that takes an input ‘n’ (a number) ( user should gives the n value if user asks fibonacci series of 20 then it should display 20 numbers of fibonacci)from a user to calculate and print out the Fibonacci using the following modified definition:   F(N) = 1                                                    if n = 1 or n = 2         = F((n+1)/2)2 + F((n-1/2)2           if n is odd         = F(n/2 + 1)2 – F(n/2 – 1)2         if n is even

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Using recursion, write a Java program that takes an input ‘n’ (a number) ( user should gives the n value if user asks fibonacci series of 20 then it should display 20 numbers of fibonacci)from a user to calculate and print out the Fibonacci using the following modified definition:

 

F(N) = 1                                                    if n = 1 or n = 2

        = F((n+1)/2)2 + F((n-1/2)2           if n is odd

        = F(n/2 + 1)2 – F(n/2 – 1)2         if n is even

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