Per the suggestion of hardmath, who indicated that MathSE has many questions on [continued fractions or Pell Equations], I have initiated a *Continued Fractions* answer to the
[List of Generalizations of Common Questions](https://math.meta.stackexchange.com/questions/1868/list-of-generalisations-of-common-questions). If anyone feels that it would be better to use the *Number Theory* umbrella, or fold the reference into an already existing *Number Theory* umbrella, within the article, go ahead and do so.