

A113807


Permutation of natural numbers generated by 7rowed array shown below.


14



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
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OFFSET

1,2


COMMENTS

For such arrays A_k see the kfamily of 2kperiodic 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.  Wolfdieter Lang, Feb 02 2012


LINKS

Table of n, a(n) for n=1..70.


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)


CROSSREFS

Cf. A088520, A090243, A090298, A092260, A204453.
Sequence in context: A298059 A298708 A124686 * A008832 A180704 A040168
Adjacent sequences: A113804 A113805 A113806 * A113808 A113809 A113810


KEYWORD

nonn


AUTHOR

Giovanni Teofilatto, Jan 22 2006


EXTENSIONS

Anumbers added for array rows by Wolfdieter Lang, Dec 15 2011
More terms from Ray Chandler, Dec 15 2011


STATUS

approved



