%I A089842
%S A089842 1,2,2,2,3,2,3,2,2,3,2,3,0,0,0,4,0,0,0,0,0,4,2,2,3,2,3,2,2,3,4,3,4,2,3,
%T A089842 3,4,2,4,2,3,2,4,3,4,2,2,3,2,3,2,2,3,4,3,4,2,3,3,4,2,4,2,3,2,4,3,4,2,2,
%U A089842 3,2,3,2,2,3,4,3,4,2,3,3,4,2,4,2,3,2,4,3,4,2,2,3,2,3,2,2,3,4,3,4
%N A089842 Order of each element (row) in A089840, 0 if not finite.
%C A089842 If a(n) is nonzero, then the n-th non-recursive gatomorphism in A089840 
               does not have orbits (cycles) larger than that and the corresponding 
               LCM-sequence will set to a constant sequence a(n),a(n),a(n),a(n),
               ... E.g. A089840[4] = A089851 is obtained by rotating three subtrees 
               cyclically and its LCM-sequence begins as 1,1,1,3,3,3,3,3,3,3,3,... 
               (a(4)=3). Similarly, A089840[15] = A089859, whose LCM-sequence begins 
               as 1,1,2,4,4,4,4,4,4,4,4,.... (a(15)=4). In contrast, the Max. cycle 
               and LCM-sequence (A089410) of A089840[12] (= A074679) exhibits genuine 
               growth, thus a(12)=0.
%H A089842 A. Karttunen, <a href="a089839.c.txt">C-program for computing the initial 
               terms of this sequence</a>
%Y A089842 Note that the terms 1-23 of A060131: 2, 2, 3, 2, 3, 2, 2, 3, 4, 3, 4, 
               2, 3, 3, 4, 2, 4, 2, 3, 2, 4, 3, 4 repeat here at positions [22..44], 
               [45..67], [68..90], [91..113], [114..136].
%Y A089842 Sequence in context: A031356 A024676 A093429 this_sequence A071215 A164024 
               A145193
%Y A089842 Adjacent sequences: A089839 A089840 A089841 this_sequence A089843 A089844 
               A089845
%K A089842 nonn
%O A089842 0,2
%A A089842 Antti Karttunen (His_Firstname.His_Surname(AT)iki.fi), Dec 05 2003