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Results tagged with sequences-and-series
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user 525961
for questions about sequences and series, e.g. convergence, closed form expressions, etc. Note that there is a different tag for spectral sequences, and also note that MathOverflow is not for homework. Please consider consulting the online encyclopedia for integer sequences, if you are trying to identify a given sequence that you have found in your research.
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_ …
- 31