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The Ankermann function, A(m, n) is defined as

The Python code below could be used to evaluate the Ankermann function.

def ack(m,n):
    if m == 0: return n+1
    elif m > 0:
        if n == 0: return ack(m-1, 1)
        elif n > 0: return ack(m-1, ack(m, n-1))

Usage:

ack(3, 4)

However, this code can’t be used for larger values of m and n.