What is Ackermann Function?

Ackermann Function:  The Ackermann function is a function with two arguments each of which can be assigned any nonnegative integer: 0, 1, 2,........... This function is defined as follows:

(a)  If m = 0 , then A(m, n) = n+1.

(b)  If m != 0 but n = 0, then A(m, n) = A(m-1, 1).

(c)  If m != 0 but n != 0, then A(m, n) = A(m-1, A(m, n-1)).

Obsrve that A(m, n) is explicitly only when m = 0. The base criteria are the pairs

            (0, 0),   (0, 1),  (0, 2),  (0. 3) ,................., (0, n), .........

The value of A(1, 3) is calculated in solved problem.

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