Evaluating a summation related to binomial expansion
4931
variation of the binomial theorem
116723
Evaluating the sum $\sum_{n=1}^{\infty}\dfrac{(-1)^{n}}{n^{2}}$
73258
Power series summation
19868
Evaluate: $ \sum _ {k=1}^{n}{\frac{k}{n}\binom{n}{k}t^k(1-t)^{n-k}}$
49936
Various evaluations of the series $\sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)^3}$
1379
Summation of $n^2x^n$ terms
133905
Intuitive proof of $\sum_{k=1}^{n} \binom{n}{k} k^{k-1} (n-k)^{n-k} = n^n$
109599
A finite sum involving the binomial coefficients and the harmonic numbers
143945
Summation of combination of binomial coefficient
151384
Summation of series involving binomial coefficients and polynomial of degree at most n-1
84557
Using right-hand Riemann sum to evaluate the limit of $ \frac{n}{n^2+1}+ \cdots+\frac{n}{n^2+n^2}$
83229
Nested summations and their relation to binomial coefficients
34803
Evaluating even binomial coefficients
123675
Evaluate the following limit of finite sum
35381
Sum with binomial coefficients: $\sum_{k=1}^m  \frac{1}{k}{m \choose k} $
127150
Finding general formula of $\sum_{i=0}^n i^2 \binom{n}{i}$
68080
Evaluation of $\sum_{k=0}^n{n\choose k}^2u^k$