%I A067060
%S A067060 3,1,4,2,7,5,8,6,11,9,12,10,15,13,16,14,19,17,20,18,23,21,24,22,27,25,
%T A067060 28,26,31,29,32,30,35,33,36,34,39,37,40,38,43,41,44,42,47,45,48,46,51,
%U A067060 49,52,50,55,53,56,54,59,57,60,58,63,61,64,62,67,65,68,66,71,69,72,70
%N A067060 A permutation of the natural numbers.
%C A067060 Start with the sequence of natural numbers. Rearrange the sequence such
that no two consecutive numbers are adjacent, by the following process.
%C A067060 Move 1 by the minimum number of steps required to the right.
%C A067060 Move 2 by the minimum number of steps required to the right. etc.
%C A067060 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 A067060 Initial sequence 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,...
%C A067060 after one step : 2,3,1,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,...
%C A067060 after two steps: 3,1,4,2,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,...
%C A067060 after 3 steps:.. 3,1,4,2,6,7,5,8,9,10,11,12,13,14,15,16,17,18,19,...
%C A067060 Start with 3. Decrease by 2 then increase by 3 then decrease by 2 and
then increase by 5 to obtain first five terms. Repeat the process
for getting the subsequent terms.
%Y A067060 Cf. A067061.
%Y A067060 Sequence in context: A066899 A139432 A115208 this_sequence A115659 A068028
A163359
%Y A067060 Adjacent sequences: A067057 A067058 A067059 this_sequence A067061 A067062
A067063
%K A067060 nonn
%O A067060 1,1
%A A067060 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jan 03 2002
%E A067060 More terms from Larry Reeves (larryr(AT)acm.org), Apr 03 2002
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