Yesterday I was watching this Numberphile video
and like Dr. James Grime, I did not like the pandigital formula for π. So I decided to play a little with pen and paper, and found the following
I think it is quite neat. Of course, I knew beforehand that 355/113 approximates π quite well, up to 6 decimal places. Actually, it is called Milü.
Cheers,
Janne