Integer

Password
As deduced from the tweet the password is 33!

Solution
The page is referring to two integer sequences.

The formula for one of them is in the title: a simple google search brings to the site http://oeis.org/

The audio is composed from one of the sequences: a003215.

The graph shows log10(a003215) against arcsinh(a215213). It has to be replicated in order to give the Chancellor the right proof.

Related

 * http://humanisbeing.com/a003215 - password: 72