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Values of n at which A323454 reaches a new record.
0

%I #14 Oct 02 2024 09:18:28

%S 1,2,3,99,369,999,1999,9879,19979

%N Values of n at which A323454 reaches a new record.

%C The corresponding numbers of steps are 0, 1, 11, 12, 13, 14, 15, 16.

%H Eric Angelini, Lars Blomberg, Charlie Neder, Remy Sigrist, and N. J. A. Sloane, <a href="http://arxiv.org/abs/1902.01444">"Choix de Bruxelles": A New Operation on Positive Integers</a>, arXiv:1902.01444 [math.NT], Feb 2019; Fib. Quart. 57:3 (2019), 195-200.

%e a(4)=99 refers to the fact that it takes 12 steps to reach 99 from 1 using the Choix de Bruxelles (version 2) operation, and all numbers less than 99 (and not ending in 0 or 5) can be reached from 1 in fewer than 12 steps.

%Y Cf. A323286, A343460, A323454.

%K nonn,base,more

%O 1,2

%A _N. J. A. Sloane_, Jan 23 2019

%E a(9) from _Michael S. Branicky_, Oct 01 2024