Why?
No reason, this is the accidental mathematician category.
Pandigital numbers Pandigital numbers aren’t that special, it’s a number that has all digits from 1-9, or, 0-9 in it.
{{% alert note %}} For example: 381654729 is a pandigital number (with some extra properties) {{% /alert %}}
Pandigital functions As Complexity Scientists (and musicians and artists in general) know:
Interesting things will happen when the degrees of freedom available to a system to generate its behaviour, are reduced.
Now, the pandigital constraint can become very interesting when applied to functions, or rather, mathematical operators. The rules are:
Take a pandigital number Stick any mathematical operator between any cluster of digits Attempt to get an interesting outcome Turns out such a pandigital formula is able to approximate the trancendental number \(e\) with uncanny precision!
\[e\approx\left (1 + 9^{-4^{6*7}} \right)^{3^{2^{85}}}\]
It was discovered by Richard Sabey in 2004.
The Numberphile channel has a great video on it:

© 2018 Fred Hasselman · Powered by the Academic theme for Hugo.