Find all sequences $ (a_n)_{n \geq 1}$ where $ \frac{1}{3\sqrt[3]{a_{n+1}^2}} \leq \sqrt[3]{n+1} -\sqrt[3]{n} \leq \frac{1}{\sqrt[3]{a_na_{n+1}}}$
Let there be math; a new place different from my mind where ideas are written down,and a possible witness for a big discovery
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