Evaluating a sum (alternating binomial series with odd denominators)
64378
Proving a binomial sum identity $\sum _{k=0}^n \binom nk \frac{(-1)^k}{2k+1} = \frac{(2n)!!}{(2n+1)!!}$
143945
Summation of combination of binomial coefficient
34803
Evaluating even binomial coefficients
140877
Evaluate the sum $\sum_{k=1}^n {n \choose k-1} {n \choose k}$
37007
Evaluating $\sum_{k=1}^{n} \frac{1}{k(k+1)}$
626
Sum of combinations with varying $n$
145582
$\sum (-1)^n/n$ fails the p-series test, but passes the alternating series test?
17638
Sum with binomial coefficients: $\sum_{k=0}^{n}{2n\choose 2k}$
109599
A finite sum involving the binomial coefficients and the harmonic numbers
122024
Asymptotic of a sum involving binomial coefficients
127267
Evaluation of $\sum_{n=1}^{\infty}\frac{1}{n(2n+1)}=2-2\ln(2)$
115686
A finite summation of double binomial coefficients
94143
Evaluate:: $ 2 \sum_{n=1}^\infty \frac{(-1)^{n+1}}{n+1}\left( 1 + \frac12 +\cdots + \frac 1n\right) $
32260
Alternating Sum of Cubes
76387
Evaluate the series $\sum_{n=1}^{\infty} \frac{2^{[\sqrt{n}]}+2^{-[\sqrt{n}]}}{2^n}$
134361
Calculating the sum of a binomial coefficient series
79718
Does the alternating sum of prime reciprocals converge?