Suppose $a_{1} < a_{2} < \dots$ is a sequence of integers such that for all integer sequences $t_{n}$ with $t_{n} \geq 1$ the sum $n = 1 \sum \infty \frac{1}{t _{n} a _{n}}$ is irrational. How slowly can $a_{n}$ grow?

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irrationality · solved · 0 attempts

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