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National and Regional Contests
PEN Problems
PEN M Problems
10
10
Part of
PEN M Problems
Problems
(1)
M 10
Source:
5/25/2007
An integer sequence satisfies
a
n
+
1
=
a
n
3
+
1999
a_{n+1}={a_n}^3 +1999
a
n
+
1
=
a
n
3
+
1999
. Show that it contains at most one square.
Recursive Sequences