Why?
A number like the example lucwarm gave, 0.101001000100001000001 . . . . , can even be transcendental. Just let each successive number of zeroes be n!. Not only does it not contain every sequence, the only non-zero sequence it contains is “1”
An earlier thread with discussion of the normality of pi: Are the digits of pi random, or not?
It wasn’t a stupid question. As cliche as it sounds, there is no stupid question but the one you don’t ask.
Paco: I thought it went “There are no stupid questions, only stupid people.”
In this context, randomness means something quite different: a number is random if its representation in base 10 cannot be generated by a finite-length computer program. It is impossible to explicitly state a random number.
Actually, it goes, “There are no stupid questions, only stupid answers”.
Pi is not “random”, as its infinite series of numbers has a regular, predictable pattern.
pi = 4 * ((1/1) - (1/3) + (1/5) - (1/7) + (1/9) - (1/11) + (1/13) - …).
Achillis, if you ever deal with other numbers that are based on an infinite series, those will generally be nonterminating, nonrepeating decimals as well.
Offtopic: ultrafilter: I think I just got your username…
You mean, like 9/10 + 9/100 + 9/1000 + 9/10000 + … 