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Results tagged with fibonacci-numbers
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user 525961
3
votes
Negated Fibonacci and the floor function
As a complement to Iosif's answer, I'll give the inductive proof. First, some preliminaries: note that by recursively applying the defining relations,
$$
F_n=F_{n-1}+F_{n-3}+...+F_2+1=1-(F_{-(n-1)}+F_ …
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