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Problem 282


Problem 282


The Ackermann function

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 $\Sigma^6_{n=0}A(n,n)$ and give your answer mod 148.


阿克曼函数

对于非负整数m和n,阿克曼函数A(m, n)按如下方式定义:

例如,A(1, 0) = 2,A(2, 2) = 7,以及A(3, 4) = 125。

求$\Sigma^6_{n=0}A(n,n)$,并将你的答案模148取余。