MathDB
Problems
Contests
International Contests
IMO Longlists
1992 IMO Longlists
75
75
Part of
1992 IMO Longlists
Problems
(1)
Positive integers in the sequence - IMO LongList 1992 TWN1
Source:
9/2/2010
A sequence
{
a
n
}
\{an\}
{
an
}
of positive integers is defined by
a
n
=
[
n
+
n
+
1
2
]
,
∀
n
∈
N
a_n=\left[ n +\sqrt n + \frac 12 \right] , \qquad \forall n \in \mathbb N
a
n
=
[
n
+
n
+
2
1
]
,
∀
n
∈
N
Determine the positive integers that occur in the sequence.
number theory
Sequence
Subset
IMO Shortlist
IMO Longlist
floor function