|
%I #4 Jun 20 2013 14:18:20
%S 7,11,12,22,44,53,54,106,108,112,113,144,159,180
%N Conjectured record-breaking numbers of odd elements, for ascending positive integers k, in 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.
%C For n<15, but probably not for all n, k = A226687(n) and the smallest integer in the T_k cycle associated with a(n) is A226688(n).
%Y Cf. A226626, A226673.
%K nonn
%O 1,1
%A _Geoffrey H. Morley_, Jun 19 2013
|
