Any one who considers arithmetical methods of producing random digits is, of course, in a state of sin. For, as has been pointed out several times, there is no such thing as a random number - there are only methods to produce random numbers, and a strict arithmetic procedure of course is not such a method.
"Various techniques used in connection with random digits" by John von Neumann in "Monte Carlo Method" edited by A.S. Householder, G.E. Forsythe and H.H. Germond, 1951.