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)
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.
Or with alpha-decay:
I love the idea of this. Commodity hardware + smarts = awesome
So predictions of those sequences are not unheard of.
Truly random sequences are not has easy to get has it sounds :S