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A cycle is called primitive if its elements are not a common multiple of the elements of another cycle.
The 3x-k function T_k is defined by T_k(x) = x/2 if x is even, (3x-k)/2 if x is odd.
For primitive cycles, GCD(k,6)=1.
For n<15, but probably not for all n, k = A226687(n) and the smallest integer in the T_k cycle associated with a(n) is A226688(n).
Table of n, a(n) for n=1..14.
Cf. A226626, A226673.
Sequence in context: A228523 A193301 A213250 * A117610 A176173 A200327
Adjacent sequences: A226686 A226687 A226688 * A226690 A226691 A226692
Geoffrey H. Morley, Jun 19 2013