Tag: sequences-and-series
- An infinite series that converges to $\frac{\sqrt{3}\pi}{24}$
- Exponential Series with a sequence
- Putting $\omega$ into $\alpha$ boxes where $\alpha \in \big(\omega\cup\{\omega\}\big)\setminus\{0,1\}$
- Radio-playing sequence
- An infinite series involving harmonic numbers
- An infinite series involving the mod-parity of Euler’s totient function
- Determine if you’ve discovered a new identity for a special function
- A conjectural infinite series for $\frac{\pi^2}{5\sqrt{5}}$
- Showing that $\sum_{n=0}^\infty (4n+1)q^{\left (\frac{4n+1}{2}\right)^2} – \sum_{n=1}^\infty (4n-1)q^{\left (\frac{4n-1}{2}\right)^2} \geq 0.1$
- Where is the source of the formula $\sum_{j=0}^\infty \bigl(j+\frac{1}{2}\bigr)^{n-1}\frac{2^{j+1/2}}{\binom{2j+1}{j+1/2}}$ for an integer sequence