Largest roots of cubic polynomials
Problem 356
Published on Saturday, 29th October 2011, 01:00 pm; Solved by 307
Let an be the largest real root of a polynomial g(x) = x3 - 2n·x2 + n.
For example, a2 = 3.86619826...
Find the last eight digits of
.
Note: 
represents the floor function.