I haven’t done the others yet, but I might get round to it. An interesting one is the number of n period siteswaps in a given number of places for pi. "What would that look like?" I hear you ask. Well, in the first 100,000 digits of pi, here are the frequencies of the different siteswap periods:

  n frequency  1 100000  2 48910  3 22496  4 9328  5 3842  6 1673  7 642  8 260  9 95  10 37  11 6  12 4  13 5

A graph of which can be found here: <ntlworld.com> You’ll notice that the log graph is very linear (except at one end, but that’s because the frequencies get smaller - this would be fixed by examining more digits).—Guy