Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #4 Dec 05 2013 19:55:07
%S 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 29,26,30,27,34,31,35,32,36,33,40,37,41,38,42,39,46,43,47,44,48,45,52,
%U 49,53,50,54,51,58,55,59,56,60,57,64,61,65,62,66,63,70,67,71,68,72,69
%N A permutation of the natural numbers.
%C 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 Move 1 by the minimum number of steps required to the right.
%C Move 2 by the minimum number of steps required to the right, etc.
%C 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 Initial sequence 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,...
%C after one step.. 2,3,4,1,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,...
%C after two steps. 3,4,1,5,2,6,7,8,9,10,11,12,13,14,15,16,17,18,19,...
%C after 3 steps... 4,1,5,2,6,3,8,9,10,7,11,12,13,14,15,16,17,18,19,...
%C 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 Cf. A067060.
%K nonn
%O 1,1
%A _Amarnath Murthy_, Jan 03 2002
%E More terms from Larry Reeves (larryr(AT)acm.org), Apr 03 2002