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Omni-MATH / Count the number of sequences 1≤a₁≤a₂≤⋯≤a₅ of integers with a_(i)≤i for all i.

Problem

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problem

Count the number of sequences 1≤a1≤a2≤⋯≤a51 \leq a_{1} \leq a_{2} \leq \cdots \leq a_{5} of integers with ai≤ia_{i} \leq i for all ii.
Plain-text mathematical notation (without MathML)
Count the number of sequences 1≤a₁≤a₂≤⋯≤a₅ of integers with a_(i)≤i for all i.
Original LaTeX notation
Count the number of sequences $1 \leq a_{1} \leq a_{2} \leq \cdots \leq a_{5}$ of integers with $a_{i} \leq i$ for all $i$.

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Source and history

Official source

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