New posts in Continued Fractions

How to prove that $\frac{\pi}{2}=\left[1, 1, \tfrac{1}{2},\tfrac{1}{3},\tfrac{1}{4},\ldots\right]$?

Closed form of $\frac{e^{-\frac{\pi}{5}}}{1+\frac{e^{-\pi}}{1+\frac{e^{-2\pi}}{1+\frac{e^{-3\pi}}{1+\ddots}}}}$

Is $22/7$ the closest to $\pi$, among fractions of denominator at most $50$?

Conjectured continued fraction formula for Catalan's constant

Strictly increasing function from $\mathbb{R}$ into $\mathbb{R}\backslash\mathbb{Q}$

On expressing $\frac{\pi^n}{4\cdot 3^{n-1}}$ as a continued fraction.

The monster continued fraction.

Simple continued fraction of $\sqrt{d}$ with period of shortest length $3$

Successive records in mathematical sequences: surprising result

Confusion while evaluating the complex continued fraction $\frac{1}{i+\frac{1}\ddots}$