%I A067061
%S A067061 4,1,5,2,6,3,10,7,11,8,12,9,16,13,17,14,18,15,22,19,23,20,24,21,28,25,
%T A067061 29,26,30,27,34,31,35,32,36,33,40,37,41,38,42,39,46,43,47,44,48,45,52,
%U A067061 49,53,50,54,51,58,55,59,56,60,57,64,61,65,62,66,63,70,67,71,68,72,69
%N A067061 A permutation of the natural numbers.
%C A067061 Start with the sequence of natural numbers. Rearrange the sequence so 
               that any two consecutive numbers differ by at least 3, by the following 
               process.
%C A067061 Move 1 by the minimum number of steps required to the right.
%C A067061 Move 2 by the minimum number of steps required to the right, etc.
%C A067061 Move the first element which is required to be moved by the minimum number 
               of steps in the sequence obtained by the previous step.
%C A067061 Initial sequence 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,...
%C A067061 after one step.. 2,3,4,1,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,...
%C A067061 after two steps. 3,4,1,5,2,6,7,8,9,10,11,12,13,14,15,16,17,18,19,...
%C A067061 after 3 steps... 4,1,5,2,6,3,8,9,10,7,11,12,13,14,15,16,17,18,19,...
%C A067061 Start with 4. Decrease by 3 then increase by 4 then decrease by 3 and 
               then increase by 4 Decrease by 3 then increase by 7 to obtain first 
               seven terms. Repeat the process for getting the subsequent terms.
%Y A067061 Cf. A067060.
%Y A067061 Sequence in context: A076063 A035590 A080414 this_sequence A115210 A030352 
               A104571
%Y A067061 Adjacent sequences: A067058 A067059 A067060 this_sequence A067062 A067063 
               A067064
%K A067061 nonn
%O A067061 1,1
%A A067061 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jan 03 2002
%E A067061 More terms from Larry Reeves (larryr(AT)acm.org), Apr 03 2002