This is my page of Pi - filled with everything you ever wanted to know about this phenomenon. Below are the first 200 digits of Pi.
3.141592653589793 23846264338327950 28841971693993751 05820974944592307 81640628620899862 80348253421170679 82148086513282306 64709384460955058 22317253594081284 81117450284102701 93852110555964462 294895493038196 ... and on and on ...