Investigating the behaviour of a recursively defined sequence

Problem 197

Published on 06 June 2008 at 10:00 pm [Server Time]

Given is the function f(x) = 230.403243784-x2 10-9 ( is the floor-function),
the sequence un is defined by u0 = -1 and un+1 = f(un).

Find un + un+1 for n = 1012.