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A226629 a(n) is the conjectured number of primitive cycles of positive integers under iteration by the Collatz-like 3x-k function, where k=A226630(n).

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%I A226629 #15 Sep 05 2013 07:56:47
%S A226629 3,1,2,1,8,1,1,1,1,3,1,1,2,1,3,1,2,5,35,2,1,2,1,6,9,136,1,1,4,2,1,1,
%T A226629 16,3,8,8,1,9,1,2,1,16,7,9,1,1,1,26,21,13,3,4,3,2,2,38,4,2,29,3,1,1,1,
%U A226629 1,1,5,1,3,1,1,8,8,1,34,33,3,1,3,1,1,1,96,4
%N A226629 a(n) is the conjectured number of primitive cycles of positive integers under iteration by the Collatz-like 3x-k function, where k=A226630(n).
%C A226629 A cycle is called primitive if its elements are not a common multiple of the elements of another cycle.
%C A226629 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 A226629 For primitive cycles, GCD(k,6)=1.
%H A226629 Geoffrey H. Morley, <a href="/A226629/b226629.txt">Table of n, a(n) for n = 1..600</a>
%F A226629 a(n) = A226628(n+1) - A226628(n).
%Y A226629 a(n) is the number of terms in the n-th row of A226623 to A226627.
%Y A226629 Cf. A226613, A226679.
%K A226629 nonn
%O A226629 1,1
%A A226629 _Geoffrey H. Morley_, Jun 13 2013