# A symmetric series

Calculus Level pending

A recurrence relation for $$m,n \ge 0$$ is defined as follows:

• $$A_{0n} =A_{n0} = n$$
• $$A_{mn}=(A_{m-1,n} + A_{m,n-1})^{\frac{8}{9}}$$ for $$m>1$$ and $$n>1$$

Evaluate:

$\large \lim_{n \to \infty} A_{nn}$

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