

A226663


Conjectured recordbreaking numbers, for ascending positive integers k, of primitive cycles of positive integers under iteration by the Collatzlike 3x+k function.


3



1, 5, 9, 19, 20, 23, 52, 53, 97, 142, 534, 944, 950, 3806, 4782
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OFFSET

1,2


COMMENTS

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, where k is odd.
For primitive cycles, GCD(k,6)=1.


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CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



