MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Harvard-MIT Mathematics Tournament
2000 Harvard-MIT Mathematics Tournament
46
46
Part of
2000 Harvard-MIT Mathematics Tournament
Problems
(1)
2000 Guts #46: Sum equals an integer
Source:
10/25/2014
For what integer values of
n
n
n
is
1
+
n
+
n
2
2
+
⋯
+
n
n
n
!
1+n+\frac{n^2}{2}+\cdots +\frac{n^n}{n!}
1
+
n
+
2
n
2
+
⋯
+
n
!
n
n
an integer?