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%I #11 Mar 16 2024 17:25:09
%S 1,2,3,4,6,5,7,10,8,9,11,15,13,12,14,16,21,19,22,18,17,20,28,26,23,25,
%T 24,27,29,34,40,31,35,37,30,32,33,45,41,46,36,39,43,38,42,44,51,53,48,
%U 52,56,47,49,50,54,55,64,60,61,62,58,66,59,67,68,57
%N Square array A(n, k), n, k > 0, read and filled in the greedy way by upward antidiagonals with distinct positive integers such that for any n > 0, the terms in the n-th row are congruent modulo n.
%C Every integer appears in the sequence (as each row starts with the least missing value).
%H Rémy Sigrist, <a href="/A371246/b371246.txt">Table of n, a(n) for n = 1..10011</a>
%H Rémy Sigrist, <a href="/A371246/a371246.gp.txt">PARI program</a>
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%e Array A(n, k) begins:
%e n\k | 1 2 3 4 5 6 7 8 9 10
%e ----+--------------------------------------------
%e 1 | 1 3 5 9 14 17 27 32 42 54
%e 2 | 2 6 8 12 18 24 30 38 50 68
%e 3 | 4 10 13 22 25 37 43 49 67 73
%e 4 | 7 15 19 23 35 39 47 59 75 79
%e 5 | 11 21 26 31 36 56 66 71 81 106
%e 6 | 16 28 40 46 52 58 70 82 100 112
%e 7 | 20 34 41 48 62 76 83 90 118 139
%e 8 | 29 45 53 61 85 93 101 109 125 149
%e 9 | 33 51 60 69 96 105 123 141 150 168
%e 10 | 44 64 74 84 94 114 124 134 144 164
%o (PARI) See Links section.
%Y See A371236 and A371248 for similar sequences.
%Y Cf. A371247 (inverse).
%K nonn,tabl
%O 1,2
%A _Rémy Sigrist_, Mar 16 2024
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