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A098003
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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.
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3
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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; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| An analysis of this sequence was provided by Keith Ramsay - see link.
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LINKS
| Keith Ramsay, Recursively Rotated Permutation. Posting in newsgroup sci.math, Sep 10 2004
Index entries for sequences that are permutations of the natural numbers
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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,...] -> ...
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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: A205769 A166108 A045901 * A026245 A026178 A026197
Adjacent sequences: A098000 A098001 A098002 * A098004 A098005 A098006
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KEYWORD
| nonn
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AUTHOR
| Leroy Quet Sep 08 2004
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EXTENSIONS
| More terms from Hugo Pfoertner (hugo(AT)pfoertner.org), Sep 08 2004
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