## The Ackermann function

### Problem 282

Published on Friday, 12th March 2010, 05:00 pm; Solved by 632; Difficulty rating: 70%
For non-negative integers `m`, `n`, the Ackermann function `A`(`m`, `n`) is defined as follows:

For example `A`(1, 0) = 2, `A`(2, 2) = 7 and `A`(3, 4) = 125.

Find `A`(`n`, `n`) and give your answer mod 14^{8}.