Search: id:A104717
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%I A104717
%S A104717 1,2,3,4,1,5,6,7,1,2,8,9,1,10,3,11,1,2,12,13,1,4,14,15,1,2,16,3,1,5,17,
%T A104717 18,1,2,19,6,1,20,4,3,1,2,21,22,1,7,23,24,1,2,25,5,1,3,8,26,1,2,4,27,1,
%U A104717 28,9,29,1,2,3,6,1,30,31,10,1,2,32,4,1,5,3,33,1,2,34,7,1,11,35,36,1,2
%N A104717 First terms in the rearrangements of integer numbers (see comments).
%C A104717 Take the sequence of natural numbers:
%C A104717 s0=1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,
%C A104717 Move the first term s(1)=1 to 3*1=3 places to the right:
%C A104717 s1=2,3,4,1,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,
%C A104717 Move the first term s(1)=2 to 3*2=6 places to the right:
%C A104717 s2={3,4,1,5,6,7,2,8,9,10,11,12,13,14,15,16,17,18,19,20,
%C A104717 Repeating the procedure we get successively:
%C A104717 s3={4,1,5,6,7,2,8,9,10,3,11,12,13,14,15,16,17,18,19,20,
%C A104717 s4={1,5,6,7,2,8,9,10,3,11,12,13,4,14,15,16,17,18,19,20,
%C A104717 s5={5,6,7,1,2,8,9,10,3,11,12,13,4,14,15,16,17,18,19,20,
%C A104717 s6={6,7,1,2,8,9,10,3,11,12,13,4,14,15,16,5,17,18,19,20,
%C A104717 s7={7,1,2,8,9,10,3,11,12,13,4,14,15,16,5,17,18,19,6,20,
%C A104717 ........................................................................
%C A104717 s100=1,5,39,3,2,40,13,41,42,4,43,9,14,7,44,45,46,6,15,47,10,48,49,16,
               8,50,
%C A104717 51,52,11,17,53,54,55,18,56,12,57,58,19,59,60,61,20,62,63,64,21,65,66,
               67,22,
%C A104717 68,69,70,23,71,72,73,24,74,75,76,25,77,78,79,26,80,81,82,27,83,84,85,
               28,86,
%C A104717 87,88,29,89,90,91,30,92,93,94,31,95,96,97,32,98,99,100,33,101,102,103,
               34,
%C A104717 104,105,106,35,107,108,109,36,110,111,112,37,113,114,115,38,116,117,
%C A104717 The sequence A104717 gives the first terms in the rearrangements s0,s1,
               s2,...,s100. Cf. A104705, A104706
%t A104717 s=Range[200];bb={1};Do[s=Drop[Insert[s, s[[1]], 2+3 s[[1]]], 1];bb=Append[bb, 
               s[[1]]], {i, 100}];bb
%Y A104717 Cf. A104705, A104706.
%Y A104717 Sequence in context: A129709 A133108 A055441 this_sequence A067003 A117386 
               A101174
%Y A104717 Adjacent sequences: A104714 A104715 A104716 this_sequence A104718 A104719 
               A104720
%K A104717 easy,nonn
%O A104717 1,2
%A A104717 Zak Seidov (zakseidov(AT)yahoo.com), Mar 20 2005

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