A104706 - OEIS

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A104706

First terms in the rearrangements of integer numbers (see comments).

1, 2, 3, 1, 4, 5, 1, 2, 6, 1, 7, 3, 1, 2, 8, 1, 9, 4, 1, 2, 10, 1, 3, 11, 1, 2, 5, 1, 12, 13, 1, 2, 3, 1, 4, 6, 1, 2, 14, 1, 15, 3, 1, 2, 7, 1, 5, 4, 1, 2, 16, 1, 3, 17, 1, 2, 8, 1, 18, 6, 1, 2, 3, 1, 4, 19, 1, 2, 5, 1, 9, 3, 1, 2, 20, 1, 21, 4, 1, 2, 7, 1, 3, 10, 1, 2, 22, 1, 5, 6, 1, 2, 3, 1, 4, 23, 1 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	COMMENTS	`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 21 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 22 places to the right:` `s2=3,1,4,5,2,6,7,8,9,10,11,12,13,14,15,16,` `Repeating the procedure we get successively:` `s3=1,4,5,2,6,7,3,8,9,10,11,12,13,14,15,16,` `s4=4,5,1,2,6,7,3,8,9,10,11,12,13,14,15,16,` `s5=5,1,2,6,7,3,8,9,4,10,11,12,13,14,15,16,` `s6=1,2,6,7,3,8,9,4,10,11,5,12,13,14,15,16,` `.......................................................................` `s100=8,3,1,2,24,25,4,5,12,7,6,26,9,27,13,28,29,10,14,30,31,15,11,` `32,33,16,34,35,17,36,37,18,38,39,19,40,41,20,42,43,21,44,45,22,` `46,47,23,48,49,50,51,52,53,54,55,56,57,58,59,60,` `The sequence A104706 gives the first terms in the rearrangements s0,s1,s2,...,s100. Cf. A104705`
	FORMULA	`a(n)=A028920(2n)-1. - Benoit CLOITRE, Mar 09 2007`
	MATHEMATICA	`s=Range[100]; bb={1}; Do[s=Drop[Insert[s, s[[1]], 2+2s[[1]]], 1]; bb=Append[bb, s[[1]]], {i, 100}]; bb` `NestList[Rest[Insert[#, #[[1]], 2 + 2 #[[1]]]] &, Range[30], 30][[All,` `1]] (Gyorgy Birkas, Mar 3 2011)`
	CROSSREFS	`Cf. A104705.` `Sequence in context: A034867 A193790 A055446 * A094137 A038802 A092942` `Adjacent sequences: A104703 A104704 A104705 * A104707 A104708 A104709`
	KEYWORD	`easy,nonn`
	AUTHOR	`Zak Seidov (zakseidov(AT)yahoo.com), Mar 19 2005`

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Last modified February 16 09:27 EST 2012. Contains 205904 sequences.