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

0,4

Comments

Why is this always a power of 3?

Links

Table of n, a(n) for n=0..52.

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.

Sequence in context: A283986 A343515 A351836 * A365458 A334625 A209291

Adjacent sequences: A105156 A105157 A105158 * A105160 A105161 A105162

Keyword

nonn,base

Author

Philippe Deléham, Apr 30 2005

Status

approved