[A question at math.SE](https://math.stackexchange.com/q/745023/28555) is asking for references. The fraction is quite nice! Check it out and post some references if you know of any.


I found this at [arxiv](http://arxiv.org/abs/1003.4015), but it doesn't apply to Zeta.



Continued fraction representation of Zeta
I found that H. J. Brothers is submiting an article with the tittle "*The Euler zeta function, continued fractions, and pi*" see [here](http://www.harlanjbrothers.com/#articles).


