A105159 Consider trajectory of n under repeated application of map k --> A105108(k); a(n) = length of cycle.

1, 1, 1, 3, 3, 3, 3, 3, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 1, 9, 1, 9, 3, 1, 9, 3, 1, 9, 3, 1, 9, 3, 1, 9, 3, 1, 9, 3, 1, 9, 3, 1

Offset: 0

Author

Philippe Deléham, Apr 30 2005

Keywords

• nonn
• base

Comments

Why is this always a power of 3?

Links

• David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers [pdf, ps].

Crossrefs

Cf. A102370, A105108, A105154.