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A226683 Conjectured record-breaking values, for ascending positive integers k, of the maximal element of the primitive cycles of positive integers under iteration by the 3x-k function. 4

%I #4 Jun 16 2013 01:13:26

%S 91,179,505,31613,74611,1793597,2571053,2791627,3714313409,

%T 42325029259,107340863887,746389665271,15138375216875

%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 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 GCD(k,6)=1.

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

%Y Cf. A226624, A226667.

%K nonn

%O 1,1

%A _Geoffrey H. Morley_, Jun 15 2013

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