
Problem 356
29 October 2011
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.

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.