It is conjectured that pi is normal: http://en.wikipedia.org/wiki/Normal_number http://en.wikipedia.org/wiki/Normal_number If the conjecture is true then any f

It is conjectured that pi is normal: http://en.wikipedia.org/wiki/Normal_number http://en.wikipedia.org/wiki/Normal_number If the conjecture is true then any finite sequence of numbers can be found in the digits of pi. As others have noted, infinite sequences are not guaranteed or even likely to appear. As zackattack points out, for example, the decimal expansion of 1/9 does not appear in the digits of pi.