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.
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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5
Offset: 2
Examples
20->10->5->2 takes 3 steps, so a(20)=3.
Links
- S. Jablan, L. H. Kauffman, and P. Lopes, The delunification process and minimal diagrams, arXiv:1406.2378 [math.GT], 2014.
- S. Jablan, L. H. Kauffman, and P. Lopes, The delunification process and minimal diagrams, Topology Appl., 193 (2015), 270-289, #5531.
Crossrefs
Cf. A262304.
Extensions
a(31)-a(88) from Hiroaki Yamanouchi, Oct 03 2015