

A226689


Conjectured recordbreaking numbers of odd elements, for ascending positive integers k, in primitive cycles of positive integers under iteration by the Collatzlike 3xk function.


2



7, 11, 12, 22, 44, 53, 54, 106, 108, 112, 113, 144, 159, 180
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OFFSET

1,1


COMMENTS

A cycle is called primitive if its elements are not a common multiple of the elements of another cycle.
The 3xk function T_k is defined by T_k(x) = x/2 if x is even, (3xk)/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).


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KEYWORD

nonn


AUTHOR



STATUS

approved



