Fibonacci numbers and binomial theroem
137215
Cesaro identity for Fibonacci numbers: $ F_{2n} = \sum_{k=1}^n \binom{n}{k} F_k$
155690
Recurrences for even and odd indexed of Fibonacci Numbers
7003
Inductive proof of a formula for Fibonacci numbers
59638
How to prove this result on binomial coefficients?
109599
A finite sum involving the binomial coefficients and the harmonic numbers
45460
Proof verification of a number theory problem involving sequences.
134783
Significance of starting the Fibonacci sequence with 0, 1....
27588
Generating functions and central binomial coefficient
39199
closed form for $\binom{n}{0}+\binom{n}{3}+\binom{n}{6}+...+\binom{n}{n}$
133150
Fibonacci combinatorial identity: $F_{2n} = {n \choose 0} F_0 + {n\choose 1} F_1 + ... {n\choose n} F_n$
41354
Binomial-coefficients if, k, m, n natural numbers and k \leq n the result of
143927
Binomial coefficients that are powers of 2
100781
Prove the $n$th Fibonacci number is the integer closest to $\frac{1}{\sqrt{5}}\left( \frac{1 + \sqrt{5}}{2} \right)^n$
106502
Prove by induction that for the Fibonacci numbers $F(n)$ with $n \ge 6$, $F(n) \ge 2^{n/2}$
111951
Prove $\binom{n}{m}\binom{m}{k} = \binom{n}{k}\binom{n-k}{m-k}$
41734
Fibonacci Sequence, Golden Ratio
126587
Divisiblity of binomial coefficients