4 ms·
I just skimmed through the MAA article and I'm reading your paper right now. I think it's supremely cool that people are still getting mileage out of papers pu
by Paul-Craft 3y ago
I just skimmed through the MAA article and I'm reading your paper right now. I think it's supremely cool that people are still getting mileage out of papers published almost 250 years ago.
One other cool thing about Euler and BBP-type pi series: Euler seems to have derived his results in a manner similar to how the famous BBP formula
{\displaystyle \pi =\sum _{k=0}^{\infty }\left[{\frac {1}{16^{k}}}\left({\frac {4}{8k+1}}-{\frac {2}{8k+4}}-{\frac {1}{8k+5}}-{\frac {1}{8k+6}}\right)\right]}
is actually proven. A friend of mine gave the proof of the famous series result as an exercise in his honors calc 2 class one year. They had some fun with it.
https://en.wikipedia.org/wiki/Bailey%E2%80%93Borwein%E2%80%93Plouffe_formula https://en.wikipedia.org/wiki/Bailey%E2%80%93Borwein%E2%80%9...