Two Centuries On, a Cryptologist Cracks a Presidential Code
online.wsj.com
online.wsj.com
I love how obviously human-generated the key is: "13, 34, 57, 65, 22, 78, 49." - the differences between the two digits are almost all 0, 1 or 2. As a species, we must really resent random numbers.
(yes, the numbers could of course be truly random, but they don't seem it to me)
Or with alpha-decay:
I love the idea of this. Commodity hardware + smarts = awesome
These aren't "natural" as in "from the earth", but they are trivial ways to calculate random numbers without assistance from a powered machine.
To answer your question though, I'd just flip a coin and calculate a random number in whatever range you want using binary.
So predictions of those sequences are not unheard of.
Truly random sequences are not has easy to get has it sounds :S