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KoMaL A Problems
KoMaL A Problems 2018/2019
A. 732
A. 732
Part of
KoMaL A Problems 2018/2019
Problems
(1)
Bound but not periodic recursion
Source: KöMaL A. 732
11/12/2018
Does there exist an infinite sequence
a
1
,
a
2
,
…
a_1,a_2,\dotsc
a
1
,
a
2
,
…
of real numbers which is bounded, not periodic, and satisfies the recursion
a
n
+
1
=
a
n
a
n
−
1
+
1
a_{n+1}=a_na_{n-1}+1
a
n
+
1
=
a
n
a
n
−
1
+
1
?
number theory
algebra