Evenness of binomial co coefficients for power $2^n$.
63893
Prime dividing the binomial coefficients
8806
Summation of binomial coefficients
8504
Factoring $x^n + y^n$ over the integers
131468
Summation of Central Binomial Coefficients divided by even powers of $2$
66019
Revisited: Binomial Theorem: An Inductive Proof
130615
divisibility of binomial coefficients by primes
139842
Seeking a combinatorial proof $\sum\limits _{k=0}^n (n-2k)^2\binom{n}{k}=n\times 2^n$
103504
Weird $3^n$ in an identity to be combinatorially proved
10191
Binomial theorem: divisibility by $n^2$
129304
Alternative combinatorial proof for $\sum\limits_{r=0}^n\binom{n}{r}\binom{m+r}{n}=\sum\limits_{r=0}^n\binom{n}{r}\binom{m}{r}2^r$
83229
Nested summations and their relation to binomial coefficients
84010
Combinatorial proof that $\sum \limits_{k=0}^n \binom{2k}{k} \binom{2n-2k}{n-k} (-1)^k = 2^n \binom{n}{n/2}$ when $n$ is even
25961
Prove: $\binom{n}{0}F_0+\binom{n}{1}F_1+\binom{n}{2}F_2+\cdots+\binom{n}{n}F_n=F_{2n}$
7143
Identity for convolution of central binomial coefficients: $\sum\limits_{k=0}^n \binom{2k}{k}\binom{2(n-k)}{n-k}=2^{2n}$
118372
Combination proof for $n(n+1)2^{n-2}=\sum_{k=1}^{n}k^2\binom{n}{k}$
71564
Combinatorial proof of identity involving central binomial coefficients
101573
Subtracting even and odd binomial coefficients?