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%I #10 Sep 08 2013 19:54:50
%S 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,
%T 1,9,3,1,9,3,1,9,3,1,9,3,1,9,3,1,9,3,1
%N Consider trajectory of n under repeated application of map k --> A105108(k); a(n) = length of cycle.
%C Why is this always a power of 3?
%H David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers [<a href="http://neilsloane.com/doc/slopey.pdf">pdf</a>, <a href="http://neilsloane.com/doc/slopey.ps">ps</a>].
%Y Cf. A102370, A105108, A105154.
%K nonn,base
%O 0,4
%A _Philippe Deléham_, Apr 30 2005