Binomial Sum Formula
109576
Prove that $\binom{m+n}{m}=\sum\limits_{i=0}^m \binom{m}{i}\binom{n}{i}$
57549
Finding the sum $\sum_{k=1}^rk^2\binom {n-k}{r-k}$
39199
closed form for $\binom{n}{0}+\binom{n}{3}+\binom{n}{6}+...+\binom{n}{n}$
439
Alternating binomial sum with intervals of two
28027
Find $\sum_{k=0}^{n}4^k \binom{n}{k}$
43066
Finding value of $S-T$ in $2$ binomial sum.
91458
Sum of the series $\binom{n}{0}-\binom{n-1}{1}+\binom{n-2}{2}-\binom{n-3}{3}+..........$
146746
A formula for the sum of the triangular numbers?
79814
Calculate sums of inverses of binomial coefficients
108401
Sum of binomial coefficients $\sum_{k=0}^{n}(-1)^k\binom{n}{k}\binom{2n - 2k}{n - 1} = 0$
158004
A formula for $1^4+2^4+...+n^4$
49234
Sum of binomial coefficients with index divisible by 4
35381
Sum with binomial coefficients: $\sum_{k=1}^m  \frac{1}{k}{m \choose k} $
38741
Finding a general formula for summation
14399
Calculate $\sum_{k=1}^n (-1)^{k+1} \binom{n}{k}\frac{1}{k}$
91648
Binomial coefficient proof
3798
Finding formula for sum $S_n = \sum_{i=1}^n i(i-1)$