Journal of Integer Sequences, Vol. 24 (2021), Article 21.2.7

Choix de Bruxelles Operation of Order Three

Karol Gryszka
Institute of Mathematics
Pedagogical University of Kraków
Podchorążych 2
30-084 Kraków


We investigate the "Choix de Bruxelles" operation on integers that replaces the number N by any of the numbers that can be obtained by multiplying or dividing by 3 consecutive digits of the decimal representation of N. Our approach is different from the original one assuming halving or doubling, and while both approaches share some similarities, they also differ in selected features. Our goal is to investigate the modified operation and to describe its graph.

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(Concerned with sequences A323286 A323287 A323454 A337321 A337357.)

Received September 7 2020; revised versions received December 4 2020; January 5 2020. Published in Journal of Integer Sequences, January 30 2020.

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