A125756 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 a positive integer solution, n is a term in the sequence.

4, 36, 140, 145, 200, 292, 1059, 1136, 1553, 1800, 2340, 4150, 4274, 4297, 4308, 4389, 4433, 4490, 4634, 4696, 4705, 4741, 4804, 4876, 5133, 5164, 5218, 5254, 5400, 5409, 5668, 5712, 5761, 6244, 6290, 6312, 6448, 6466, 6662, 6800, 6976

Offset: 1

Author

David Applegate, Feb 02 2007

Keywords

• nonn

Comments

Suggested by A125626.

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

Links

• David Applegate, Table of n, a(n) for n = 1..60

Crossrefs

Cf. A125626, A125755, A125754, A125757, A125710, A125711.