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

1,1

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.

Sequence in context: A374387 A060783 A296948 * A173961 A340661 A035287

Adjacent sequences: A125753 A125754 A125755 * A125757 A125758 A125759

Keyword

nonn

Author

David Applegate, Feb 02 2007

Status

approved