[数列] 题干简洁的严格递增的正无穷正整数数列（竞赛）

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isee posted 2021-8-10 00:28 |Read mode

来自 2020年丝绸之路数学竞赛

设`\{a_n\}`是严格递增的正无穷正整数数列，满足对任意正整数`n`，`a_n\leqslant n+2020`且`a_{n+1}\mid n^3a_n-1`. 证明：对任意正整数`n` ，`a_n=n`

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2025-6-8 06:56 GMT+8

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