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A125754 Numbers n whose reverse binary representation has the following property: let a 0 mean "halving" and a 1 mean "k -> 3k+1". The number describes an operation k -> f_n(k). If the equation f_n(k) = k has an integer solution, n is a term in the sequence. 5

%I #4 Mar 30 2012 17:21:02

%S 2,4,10,17,18,20,24,36,42,140,145,170,200,292,561,594,660,682,792,

%T 1059,1136,1553,1800,2340,2730,4150,4274,4297,4308,4389,4433,4490,

%U 4634,4696,4705,4741,4804,4876,5133,5164,5218,5254,5400,5409,5668

%N Numbers n whose reverse binary representation has the following property: let a 0 mean "halving" and a 1 mean "k -> 3k+1". The number describes an operation k -> f_n(k). If the equation f_n(k) = k has an integer solution, n is a term in the sequence.

%C Suggested by A125626.

%C Note that f_n(x) is always a linear function of x.

%H David Applegate, <a href="/A125754/b125754.txt">Table of n, a(n) for n = 1..101</a>

%Y Cf. A125626, A125755, A125756, A125757, A125710, A125711.

%K nonn

%O 1,1

%A _David Applegate_, Feb 02 2007

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Last modified July 19 00:30 EDT 2024. Contains 374388 sequences. (Running on oeis4.)