The question is: is pi a 'normal' number? It's an open question. Note that it's not particularly difficult or illuminating to generate a normal number, example: 0.(binary digits of 1)(binary digits of 2)...(binary digits of n)...
That number is binary to base 2, but not necessarily to, say, base 10. Making an absolutely normal number (that is, a number that is normal to any base) is more involved[0]. It has only been recently shown that this can be done with polynomial time complexity[1]. My licentiate thesis was an implementation of the second algorithm.
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The question is: is pi a 'normal' number? It's an open question. Note that it's not particularly difficult or illuminating to generate a normal number, example: 0.(binary digits of 1)(binary digits of 2)...(binary digits of n)...
http://en.m.wikipedia.org/wiki/Normal_number
That number is binary to base 2, but not necessarily to, say, base 10. Making an absolutely normal number (that is, a number that is normal to any base) is more involved[0]. It has only been recently shown that this can be done with polynomial time complexity[1]. My licentiate thesis was an implementation of the second algorithm.
[0]http://www.sciencedirect.com/science/article/pii/S0304397501... [1]http://www.dc.uba.ar/people/profesores/becher/poly.pdf