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A113807
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Permutation of natural numbers generated by 7-rowed array shown below.
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14
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1, 13, 2, 15, 12, 3, 27, 16, 11, 4, 29, 26, 17, 10, 5, 41, 30, 25, 18, 9, 6, 43, 40, 31, 24, 19, 8, 7, 55, 44, 39, 32, 23, 20, 14, 57, 54, 45, 38, 33, 22, 21, 69, 58, 53, 46, 37, 34, 28, 71, 68, 59, 52, 47, 36, 35, 83, 72, 67, 60, 51, 48, 42, 85, 82, 73, 66, 61, 50, 49
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| For such arrays A_k see the k-family of 2k-periodic sequences P_k defined in a comment on A203571. There the k residue classes Mod n have been defined. The present array is A_7
if the last class, starting with 7, is taken as first class [0] after adding a 0 in front. Then one obtains a permutation of the nonnegative integers. However, each complete residue class also includes its negative members. - From Wolfdieter Lang, Feb 02 2012.
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EXAMPLE
| 1 13 15 27 29 41 43 55 57 69 71 83 85...(A113801)
2 12 16 26 30 40 44 54 58 68 72 82 86...(A113802)
3 11 17 25 31 39 45 53 59 67 73 81 87...(A113803)
4 10 18 24 32 38 46 52 60 66 74 80 88...(A113804)
5 9 19 23 33 37 47 51 61 65 75 70 89...(A113805)
6 8 20 22 34 36 48 50 62 64 76 78 90...(A113806)
7 14 21 28 35 42 49 56 63 70 77 84 91...(A008589)
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CROSSREFS
| Cf. A088520, A090243, A090298, A092260, A204453.
Sequence in context: A078197 A070704 A124686 * A008832 A180704 A040168
Adjacent sequences: A113804 A113805 A113806 * A113808 A113809 A113810
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KEYWORD
| nonn,changed
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AUTHOR
| Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Jan 22 2006
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EXTENSIONS
| A-numbers added for array rows, W. Lang, Dec 15 2011.
More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Dec 15 2011
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