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Kyrgyzstan Contests
Kyrgyzstan National Olympiad
2009 Kyrgyzstan National Olympiad
8
Fun Eq
Fun Eq
Source: Kyrgyzstan TST 2009
April 14, 2009
function
limit
algebra proposed
algebra
Problem Statement
Does there exist a function
f
:
N
ā
N
f: {\Bbb N} \to {\Bbb N}
f
:
N
ā
N
such that f(f(n \minus{} 1)) \equal{} f(n \plus{} 1) \minus{} f(n) for all
n
>
2
n > 2
n
>
2
.
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