MathDB
Problems
Contests
National and Regional Contests
Chile Contests
Chile TST Ibero
2023 Chile TST Ibero.
1
C is a integer??
C is a integer??
Source:
October 23, 2024
TST
Chile
number theory
Problem Statement
Given a non-negative integer
n
n
n
, determine the values of
c
c
c
for which the sequence of numbers
a
n
=
4
n
c
+
4
n
−
(
−
1
)
n
5
a_n = 4^n c + \frac{4^n - (-1)^n}{5}
a
n
=
4
n
c
+
5
4
n
−
(
−
1
)
n
contains at least one perfect square.
Back to Problems
View on AoPS