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Write a C program ( Care should be taken not to use extensions of C + + ) that c

ID: 3553020 • Letter: W

Question

Write a C program (Care should be taken not to use extensions of C + +) that computes the result of Catalan numbers defined as:

C(1)=1    

(C(n)= sum_{i=1}^{n-1} C(i)C(n-i)) n >1

The first five terms of the sequence are: 1, 1, 2, 5 and 14. Your program should calculate the result of two different ways, each way corresponding to a distinct function:

a) using a recursive function as defined above

b) using a function that calculates two "for" loops of the following formula (equivalent to the recursive formula):

(C(n) = (1/n)((2n-2)

Explanation / Answer

Fine the code here : http://ideone.com/PTSe4W

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