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Problems
Contests
National and Regional Contests
PEN Problems
PEN I Problems
16
16
Part of
PEN I Problems
Problems
(1)
I 16
Source:
5/25/2007
Prove or disprove that there exists a positive real number
u
u
u
such that
⌊
u
n
⌋
−
n
\lfloor u^n \rfloor -n
⌊
u
n
⌋
−
n
is an even integer for all positive integer
n
n
n
.
floor function