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A098003 Start with positive integers. On m_th step shift terms a(m+1) to a(2m-1) one position to the left, move a(m) to position (2m-1). Sequence is limit of reordering. +0
4
1, 3, 4, 2, 7, 8, 6, 11, 12, 9, 15, 16, 5, 19, 20, 14, 23, 24, 17, 27, 28, 13, 31, 32, 22, 35, 36, 25, 39, 40, 18, 43, 44, 30, 47, 48, 33, 51, 52, 10, 55, 56, 38, 59, 60, 41, 63, 64, 29, 67, 68, 46, 71, 72, 49, 75, 76, 34, 79, 80, 54, 83, 84, 57, 87, 88, 26, 91, 92 (list; graph; listen)
OFFSET

1,2

COMMENT

An analysis of this sequence was provided by Keith Ramsay - see link.

LINKS

Leroy Quet, Home Page (listed in lieu of email address)

Keith Ramsay, Recursively Rotated Permutation. Posting in newsgroup sci.math.

Index entries for sequences that are permutations of the natural numbers

EXAMPLE

[1,2,3,4,5,6,...] -> [1,3,2,4,5,6,...] -> [1,3,4,5,2,6,...] -> [1,3,4,2,6,7,...] -> [1,3,4,2,7,5,...] -> [1,3,4,2,7,8,...] -> ...

CROSSREFS

Cf. A098046 for inverse permutation.

Cf. A098046 for inverse permutation, A098486 auxiliary sequence explaning the behavior of column 1, if the sequence is written in a 3 entries per line table.

Sequence in context: A046692 A166108 A045901 this_sequence A026245 A026178 A026197

Adjacent sequences: A098000 A098001 A098002 this_sequence A098004 A098005 A098006

KEYWORD

nonn

AUTHOR

Leroy Quet Sep 08 2004

EXTENSIONS

More terms from Hugo Pfoertner (hugo(AT)pfoertner.org), Sep 08 2004

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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