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HMMT 二月 2000 · 团队赛 · 第 14 题

HMMT February 2000 — Team Round — Problem 14

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. De ne a sequen e < x > of real n um b ers b y sp e ifying an initial x and b y the re urren e n 0 1+ x n x = . Find x as a fun tion of x and n , in losed form. There ma y b e m ultiple n +1 n 0 1 x n ases. q 2 2
解析
  1. x if n 0 (mo d 4), if n 1 (mo d 4), if n 2 (mo d 4), if n 3 (mo d 0 1 x x x +1 0 0 0 4).