# Looking for a particular lecture/lecturer on the fact that intuition may is not always enough

Last night I was about to close off my phone and saw the beginning of a very interesting lecture on how intuition is not always enough in Mathematics...

The lectures (so far unknown to me) started out showing that the regions of a circle cut-off by n-lines follow a rather non-intuitive pattern

1, 2, 4, 8, 16 ...


and then continues unexpected with ... 31, 57, ... Wikipedia reference.

And then it looked like he was going to talk about another famous problem, the Borwein Integrals:

and I kinda could see it showing up in the slides, when I could not hold my jet-lag and fell asleep. Being such a privacy freak I had History turned off on the phone, it lost power, rebooted and this morning I was not able to locate it among my Android Discover cards.

I would love to be able to watch the entire lecture.

Does anyone here know the lecture/lecturer? He is skinny, has sort of a french accent and the video was recorded with the left half fixed on the slides and him moving on the right half of the screen. Do you know of any of the Math. institutes that records videos in this particular fashion?

• Do you have any kind of reference fo the problem with the integrals? I've never seen it before. Jul 20, 2019 at 3:06
• @saulspatz The integrals are called Borwein Integrals, introduced by the father-son Borweins. You can see a bit more detail here: en.wikipedia.org/wiki/Borwein_integral or johncarlosbaez.wordpress.com/2018/09/20/… The original reference for their article is: Borwein, David; Borwein, Jonathan M. (2001), "Some remarkable properties of sinc and related integrals", The Ramanujan Journal, 5 (1): 73–89, doi:10.1023/A:1011497229317 Jul 20, 2019 at 3:38
• This is amazing! Thank you. Jul 20, 2019 at 4:04
• Pure fun, isn't it? John Baez blog article (referenced above) is such a reading, specially the comment sections down below... Jul 20, 2019 at 4:25

This video doesn't match the description in the last paragraph of the question, but it does start with $$1,2,4,8,16,31$$ and the Borwein integrals, and it is about intuition not always being enough.