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%I #8 Jun 19 2013 17:25:45
%S 1,3397,2277097,106035623,128946539,153247321,885327131,6372904817,
%T 52894692341,95712964765,301829916841,1846456176103,2697688935023,
%U 10281192195005,10556691785131,13239192635131
%N Conjectured record-breaking values, for ascending positive integers k, of the maximal element of the primitive cycles of positive integers under iteration by the Collatz-like 3x+k function.
%C A cycle is called primitive if its elements are not a common multiple of the elements of another cycle.
%C 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.
%C For primitive cycles, GCD(k,6)=1.
%Y k = A226668(n). The smallest integer in the T_k cycle associated with a(n) is A226669(n).
%Y Cf. A226608, A226683.
%K nonn
%O 1,2
%A _Geoffrey H. Morley_, Jun 15 2013