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A262303 Length of sequence of lower halves of n: repeatedly apply x->floor(x/2) starting at n; a(n) = number of steps until reach one of 2,3,4. 1

%I #13 Oct 03 2015 10:23:15

%S 0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,

%T 3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,

%U 4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5

%N Length of sequence of lower halves of n: repeatedly apply x->floor(x/2) starting at n; a(n) = number of steps until reach one of 2,3,4.

%H S. Jablan, L. H. Kauffman, and P. Lopes, <a href="http://arxiv.org/abs/1406.2378">The delunification process and minimal diagrams</a>, arXiv:1406.2378 [math.GT], 2014.

%H S. Jablan, L. H. Kauffman, and P. Lopes, <a href="http://dx.doi.org/10.1016/j.topol.2015.07.010">The delunification process and minimal diagrams</a>, Topology Appl., 193 (2015), 270-289, #5531.

%e 20->10->5->2 takes 3 steps, so a(20)=3.

%Y Cf. A262304.

%K nonn,easy

%O 2,9

%A _N. J. A. Sloane_, Sep 30 2015

%E a(31)-a(88) from _Hiroaki Yamanouchi_, Oct 03 2015

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