cp's OEIS Frontend

A267970 Conjectured list of positive numbers n such that the Collatz-like map T: if x > 1 and x odd, x -> 5*x+1 and, if x even, x -> x/2, when started at n, never repeats.

%I A267970 #16 Jun 28 2024 23:18:11
%S A267970 7,9,11,14,18,21,22,23,25,28,29,31,35,36,37,39,41,42,44,45,46,47,49,
%T A267970 50,53,55,56,57,58,59,61,62,63,67,69,70,71,72,73,74,75,77,78,79,81,82,
%U A267970 84,85,87,88,89,90,91,92,93,94,95,98,99,100
%N A267970 Conjectured list of positive numbers n such that the Collatz-like map T: if x > 1 and x odd, x -> 5*x+1 and, if x even, x -> x/2, when started at n, never repeats.
%C A267970 A companion to A232711 (which conjecturally lists the numbers whose trajectory reaches 1), and A267969 (which conjecturally lists the numbers whose trajectory cycles but does not reach 1). The present sequences conjecturally lists the numbers whose trajectory diverges.
%C A267970 The numbers listed have trajectories that have not cycled in the first 10000 steps. (But this does not mean much. There are quite small numbers that only cycle after 13000 iterations. - _N. J. A. Sloane_, Jan 23 2016)
%H A267970 Dmitry Kamenetsky, <a href="/A267970/b267970.txt">Table of n, a(n) for n = 1..10000</a>
%Y A267970 Cf. A232711, A267969.
%K A267970 nonn
%O A267970 1,1
%A A267970 _Michel Lagneau_, Jan 19 2016
%E A267970 Entry revised by _N. J. A. Sloane_, Jan 23 2016
%E A267970 a(18)-a(60) from _Dmitry Kamenetsky_, Jun 26 2024