MathDB

8

Part of 2009 Kyrgyzstan National Olympiad

Problems(1)

Fun Eq

Source: Kyrgyzstan TST 2009

4/14/2009
Does there exist a function f:Nā†’N f: {\Bbb N} \to {\Bbb N} such that f(f(n \minus{} 1)) \equal{} f(n \plus{} 1) \minus{} f(n) for all n>2 n > 2.
functionlimitalgebra proposedalgebra