MathDB
Problems
Contests
National and Regional Contests
PEN Problems
PEN I Problems
17
17
Part of
PEN I Problems
Problems
(1)
I 17
Source:
5/25/2007
Determine all real numbers
a
a
a
such that
4
⌊
a
n
⌋
=
n
+
⌊
a
⌊
a
n
⌋
⌋
for all
n
∈
N
.
4\lfloor an\rfloor =n+\lfloor a\lfloor an\rfloor \rfloor \; \text{for all}\; n \in \mathbb{N}.
4
⌊
an
⌋
=
n
+
⌊
a
⌊
an
⌋⌋
for all
n
∈
N
.
floor function