Empirical study of stochasticity for deterministic chaotical dynamics of geometric progressions of residues (Q1035289)

\textit{A. Kolmogorov} discovered [Giorn. Ist. Ital. Atturi 4, 83-91 (1933; Zbl 0006.17402)] that the empirical statistics of several independent values of any random variable differs from the true distribution function of this variable in some universal way. The author uses this asymptotic Kolmogorov distribution, to test numerically the randomness of some examples of deterministic sequences (actually their first 50 terms), of arithmetic nature. He conjectures thus the ``non-randomness'' of arithmetic progressions, and the ``pseudo-randomness'' of Fibonacci numbers.