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It is proved, with the help of a computer, that for m = 20 the first m minimal elements for the sequence of all powers in an integer-representing algorithm are given by Yi = i, i = 1, 2, 3, Y,+i = (y2 + 6yi + 1)/4, i= 3, m 1. This extends an earlier result of the author (for m = 10) .

On the minimal elements for the sequence of all powers in the Lemoine-Kátai algorithm