Binomial coefficient in closed form problem
45862
Nested sum of binomial coefficient in closed form
10875
proof of binomial identity involving double sum
19914
Closed form for $\sum_{n=0}^{\infty} \binom{n+k}{k} x^n$ (Negative Binomial Theorem)
131326
How to find $\sum_{r\ge 0} \binom{n}{r}\binom{n-r}{r} 2^{n-2r}$?
131468
Summation of Central Binomial Coefficients divided by even powers of $2$
91239
Sum of binomial coefficients involving $n,p,q,r$
42606
Orthogonality for Binomial Coefficients
91648
Binomial coefficient proof
12423
"Closed" form for $\sum \frac{1}{n^n}$
75723
Odd Binomial Coefficients?
28737
Negative binomial coefficient
90904
Combinatorial proof of an identity with squared binomial coefficients
130223
Proving a special case of the binomial theorem: $\sum^{k}_{m=0}\binom{k}{m} = 2^k$
101573
Subtracting even and odd binomial coefficients?
157552
Find the coefficient of $x^n$ simply by using binomial theorem
108401
Sum of binomial coefficients $\sum_{k=0}^{n}(-1)^k\binom{n}{k}\binom{2n - 2k}{n - 1} = 0$
52557
Derivation of binomial coefficient in binomial theorem.