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.

2, 4, 10, 17, 18, 20, 24, 36, 42, 140, 145, 170, 200, 292, 561, 594, 660, 682, 792, 1059, 1136, 1553, 1800, 2340, 2730, 4150, 4274, 4297, 4308, 4389, 4433, 4490, 4634, 4696, 4705, 4741, 4804, 4876, 5133, 5164, 5218, 5254, 5400, 5409, 5668

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..101

Crossrefs

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