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Record-breaking values, for increasing k = A226630(n), of the conjectured number of primitive cycles of positive integers under iteration by the Collatz-like 3x-k function.
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%I #16 Jul 02 2013 13:22:24

%S 3,8,35,136,171,2908,6326

%N Record-breaking values, for increasing k = A226630(n), of the conjectured number of 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, where k is odd.

%C For primitive cycles, GCD(k,6)=1.

%Y k = A226680(n).

%Y Cf. A226629, A226663.

%K nonn,more

%O 1,1

%A _Geoffrey H. Morley_, Jun 15 2013

%E Definition clarified by _Geoffrey H. Morley_, Jun 23 2013