cp's OEIS Frontend

A226676 Smallest positive integer k (or 0 if no such k) with a primitive cycle of n positive integers under iteration by the Collatz-like 3x-k function.

%I A226676 #6 Jul 10 2013 03:35:31
%S A226676 1,0,1,11,49,17,115,473,31,791,1,29,11491,371,641,2167,19,119,23,3211,
%T A226676 106537,77,431,2465,2069,5575
%N A226676 Smallest positive integer k (or 0 if no such k) with a primitive cycle of n positive integers under iteration by the Collatz-like 3x-k function.
%C A226676 A cycle is called primitive if its elements are not a common multiple of the elements of another cycle.
%C A226676 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 A226676 For primitive cycles, GCD(k,6)=1.
%C A226676 Conjecture: For n>2, a(n)>0.
%Y A226676 Cf. A226625, A226660, A226677.
%K A226676 nonn,more
%O A226676 1,4
%A A226676 _Geoffrey H. Morley_, Jul 05 2013