求 (√2-1)^12

王守恩

luyuanhong 发表于 2026-6-16 09:44

谢谢陆老师！！！

\(1, \frac{3}{2}, \frac{7}{5}, \frac{17}{12}, \frac{41}{29}, \frac{99}{70}, \frac{239}{169}, \frac{577}{408}, \frac{1393}{985},
\frac{3363}{2378}, \frac{8119}{5741}, \frac{19601}{13860}, \frac{47321}{33461}, \frac{114243}{80782},
\frac{275807}{195025}, \frac{665857}{470832}, \frac{1607521}{1136689}, \frac{3880899}{2744210},
\frac{9369319}{6625109}, \frac{22619537}{15994428}, \frac{54608393}{38613965}\)

1. Table[FromContinuedFraction[ContinuedFraction[Sqrt[2], n]], {n, 26}]

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liangchuxu

整理一下