sum of the square of binomial coefficient
140607
Squared binomial coefficient
1167
How to prove that $\sum_{k=0}^{n}(-1)^k \binom {n}{k}=0 $
31970
Alternating sum of squares of binomial coefficients
117604
Sum of the rows of Pascal's Triangle.
113321
Hint proving this $\sum_{k=0}^{n}\binom{2n}{k}k=n2^{2n-1}$
13236
Proving equality - a sum including binomial coefficient $\sum_{k=1}^{n}k{n \choose k}2^{n-k}=n3^{n-1}$
37771
Sum of a power series $n x^n$
91648
Binomial coefficient proof
14399
Calculate $\sum_{k=1}^n (-1)^{k+1} \binom{n}{k}\frac{1}{k}$
91239
Sum of binomial coefficients involving $n,p,q,r$
158774
Series of binomial coefficients: $\sum\limits_{n=k}^{\infty}{\binom nk}x^n=\frac{x^k}{(1-x)^{k+1}}$
126214
Multiplying Binomial Terms
1379
Summation of $n^2x^n$ terms
48200
Simplify $\sum_{i=0}^n (i+1)\binom ni$
108401
Sum of binomial coefficients $\sum_{k=0}^{n}(-1)^k\binom{n}{k}\binom{2n - 2k}{n - 1} = 0$
99843
How to simplify $ \sum_{k=0}^{\infty} \binom{k + r - 1}{k} x^k$
45862
Nested sum of binomial coefficient in closed form