# Thoughts...

Algebra Level 3

A function $f(n)$, defined for all $n \in \mathbb N$, is such that

$\large f(1) + f(2) + \cdots + f(n - 1) + f(n) = n^2f(n)$

If $f(1) = 36$, calculate the value of $f(8)$.

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