1,2

Take the sequence of natural numbers:

s0=1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,

Move the first term s(1)=1 to prime[s(1)]=2 places to the right:

s1=2,3,1,4,5,6,7,8,9,10,11,12,13,14,15,16,

Move the first term s(1)=2 to prime[s(1)]=3 places to the right:

s2=3,1,4,2,5,6,7,8,9,10,11,12,13,15,16,

Repeating the procedure we get successively:

s3=1,4,2,5,6,3,7,8,9,10,11,12,13,15,16,

s4=4,2,1,5,6,3,7,8,9,10,11,12,13,15,16,

s5=2,1,5,6,3,7,8,4,9,10,11,12,13,15,16,

s6=1,5,6,2,3,7,8,4,9,10,11,12,13,15,16,

s7=5,6,1,2,3,7,8,4,9,10,11,12,13,15,16,

s8=6,1,2,3,7,8,4,9,10,11,12,5,13,15,16,

..................................................................

s100=2,3,1,24,9,4,25,26,27,6,5,7,28,29,30,10,8,31,32,11,33,34,35,36,

37,38,12,39,40,41,42,13,43,44,14,45,46,47,48,15,49,50,51,52,53,54,

16,55,56,57,58,59,60,17,61,62,18,63,64,65,66,67,68,19,69,70,71,72,

20,73,74,21,75,76,77,78,79,80,22,81,82,83,84,23,85,86,87,88,89,90,

The sequence A104705 gives the first terms in the rearrangements s0,s1,s2,...,s100.

s=Range[100]; bb={1}; Do[s=Drop[Insert[s, s[[1]], 2+Prime[s[[1]]]], 1]; bb=Append[bb, s[[1]]], {i, 100}]; bb

Sequence in context: A035426 A065516 A087088 this_sequence A143361 A152547 A083906

Adjacent sequences: A104702 A104703 A104704 this_sequence A104706 A104707 A104708

easy,nonn

Zak Seidov (zakseidov(AT)yahoo.com), Mar 19 2005