OEIS A229580 mini challenge (RPL)

[Valentin Albillo]

(05-03-2018 07:51 PM)Gerson W. Barbosa Wrote:  Thank you very much for your offer. Please feel free to do any experiments if you think they're worthwhile. I hope my lack of formalism hasn't been a problem for the explanation you've requested.

First of all, thanks a lot for your very detailed answer to my questions and for the time it surely took you to write it all down, much appreciated.

I knew about the Fourier series part, i.e. the convergent series, but I didn't know a thing about the continued fraction adjustment and whether it actually made the partial-series+fraction indeed converge, that's why I asked, and your answer made it all perfectly clear.

Thanks again and regards.
V.
.