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17
I 17
I 17
Source:
May 25, 2007
floor function
Problem Statement
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
.
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