

A226683


Conjectured recordbreaking values, for ascending positive integers k, of the maximal element of the primitive cycles of positive integers under iteration by the 3xk function.


4



91, 179, 505, 31613, 74611, 1793597, 2571053, 2791627, 3714313409, 42325029259, 107340863887, 746389665271, 15138375216875
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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, where GCD(k,6)=1.


LINKS



CROSSREFS

k = A226684(n). The smallest integer in the T_k cycle associated with a(n) is A226685(n).


KEYWORD

nonn


AUTHOR



STATUS

approved



