Digit patterns in real numbers created from permutations
Jean–Marie De Koninck, Imre Kátai · Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae Sectio computatorica · 2020
Given a positive integer k, we construct a binary number 0.a1a2a3 . . .having the property that any sequence am+1 . . .a m+k of k consecutive digits from its binary expansion appears with a frequency directly related to the various permutations of the set {1, 2, . . ., k + 1}.