New posts in Sequences And Series

Is this series $\sum_{n=0}^{\infty} 2^{(-1)^n - n} = 3 $ or $ \approx 3$

Is it possible to justify these approximations about prime numbers?

What loops are possible when doing this function to the rationals?

Find $\sum_{n=1}^{\infty} \frac{1}{\prod_{i=0}^{k} \left(n+i\right)}$

$\lfloor\frac12+\frac1{2^2}+\frac1{2^3}+\cdots\rfloor\;$ vs $\;\lim_{n\to\infty}\lfloor\frac12+\frac1{2^2}+\cdots+\frac1{2^n}\rfloor$

Does iterating the complex function $z\mapsto\frac{2\sqrt z}{1+z}$ always converge?

Convergence of $\sum_{p>2} \frac{(-1)^{\frac{p-1}{2}}}{p}$

Bounds of $1^n + 2^{n-1} + 3^{n-2} + \cdots + n^1$

Show that $(\sum a_{n}^{3} \sin n)$ converges given $\sum{a_n}$ converges

How to evaluate $\sum_{n=1}^{\infty}\frac{\zeta (2n)-1}{n+1}$ directly?