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

1,1

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..101

Crossrefs

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

Sequence in context: A238720 A264585 A077635 * A097870 A244474 A301739

Adjacent sequences: A125751 A125752 A125753 * A125755 A125756 A125757

Keyword

nonn

Author

David Applegate, Feb 02 2007

Status

approved