New posts in Fibonacci Numbers

Sequence in which adding 2 produces a square

Does $a_{n}/a_{n-1}$ converge to the golden ratio for all Fibonacci-like sequences?

Experimental identities with Fibonacci series

Musical and combinatorial proof

Fibonacci numbers mod $p$

Counting argument proof or inductive proof of $F_1 {n \choose1}+...+F_n {n \choose n} = F_{2n}$ where $F_i$ are Fibonacci

Do Fibonacci numbers form a complete residue system in every modulus?

The sum of 8 consecutive Fibonacci numbers is not a Fibonacci number

Proving ${\sum_{n=1}^\infty {1\over F_n}} <4$

Induction proof of $F(n)^2+F(n+1)^2=F(2n+1)$, where $F(n)$ is the $n$th Fibonacci number.