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A226631 Length of the shortest primitive cycle(s) of positive integers under iteration by the 3x-k function, where k=A226630(n). 3

%I #7 Jun 15 2013 01:36:08

%S 1,4,6,17,19,34,12,9,5,22,12,17,17,69,7,18,22,38,11,12,6,68,44,30,9,

%T 19,68,14,22,44,23,30,84,8,17,17,30,12,68,18,7,22,15,22,85,10,14,22,

%U 22,10,14,18,44,12,68,22,9,38,17,14,55,8,56,50,36,44,25,37

%N Length of the shortest primitive cycle(s) of positive integers under iteration by the 3x-k function, where k=A226630(n).

%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.

%H Geoffrey H. Morley, <a href="/A226631/b226631.txt">Table of n, a(n) for n = 1..600</a>

%F a(n) = min_{j=A226628(n) to A226628(n+1)-1} A226625(j).

%K nonn

%O 1,2

%A _Geoffrey H. Morley_, Jun 14 2013

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Last modified September 2 05:36 EDT 2024. Contains 375604 sequences. (Running on oeis4.)