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%I #25 Sep 02 2018 01:52:16
%S 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,
%T 19,8,7,55,44,39,32,23,20,14,57,54,45,38,33,22,21,69,58,53,46,37,34,
%U 28,71,68,59,52,47,36,35,83,72,67,60,51,48,42,85,82,73,66,61,50,49
%N Permutation of natural numbers generated by 7-rowed array shown below.
%C 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. - _Wolfdieter Lang_, Feb 02 2012
%e 1 13 15 27 29 41 43 55 57 69 71 83 85 ... (A113801)
%e 2 12 16 26 30 40 44 54 58 68 72 82 86 ... (A113802)
%e 3 11 17 25 31 39 45 53 59 67 73 81 87 ... (A113803)
%e 4 10 18 24 32 38 46 52 60 66 74 80 88 ... (A113804)
%e 5 9 19 23 33 37 47 51 61 65 75 70 89 ... (A113805)
%e 6 8 20 22 34 36 48 50 62 64 76 78 90 ... (A113806)
%e 7 14 21 28 35 42 49 56 63 70 77 84 91 ... (A008589)
%Y Cf. A088520, A090243, A090298, A092260, A204453.
%K nonn
%O 1,2
%A _Giovanni Teofilatto_, Jan 22 2006
%E A-numbers added for array rows by _Wolfdieter Lang_, Dec 15 2011
%E More terms from _Ray Chandler_, Dec 15 2011
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