## Problem of the Week 994## An Eerie RecursionDefine the sequence e(n) by e(1) = 0, e(2) = 1, and e(n) = e(n - 1) + (e(n - 2)/(n - 2)). What is the limit of n/e(n) as n approaches infinity? Why is it eerie? Tune in next week? Source: The beautiful new book, Mathematical Constants, by Stephen Finch (Cambridge Univ. Press). The result is due to B. Cloitre (2002). © Copyright 2003 Stan Wagon. Reproduced with permission. |

29 October 2003