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Square array A(n, k) of distinct positive integers, n, k > 0, read and filled by upwards antidiagonals in the greedy way such that A(n, k) is a multiple of A(n, 1) and of A(1, k).
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%I #7 Apr 01 2023 08:50:09

%S 1,2,3,4,6,5,7,12,10,8,9,21,20,16,11,13,18,35,24,22,14,15,39,45,56,44,

%T 28,17,19,30,65,72,77,84,34,23,25,57,60,104,99,42,68,46,26,27,75,95,

%U 120,143,126,119,92,52,29,31,54,50,152,165,182,153,161,156,58,32

%N Square array A(n, k) of distinct positive integers, n, k > 0, read and filled by upwards antidiagonals in the greedy way such that A(n, k) is a multiple of A(n, 1) and of A(1, k).

%C This sequence is a variant of A361926.

%C As a flat sequence, this is a permutation of the positive integers with inverse A361941.

%H Rémy Sigrist, <a href="/A361927/a361927.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 8 11 14 17 23 26 29

%e 2 | 2 6 10 16 22 28 34 46 52 58

%e 3 | 4 12 20 24 44 84 68 92 156 116

%e 4 | 7 21 35 56 77 42 119 161 364 203

%e 5 | 9 18 45 72 99 126 153 207 234 261

%e 6 | 13 39 65 104 143 182 221 299 78 377

%e 7 | 15 30 60 120 165 210 255 345 390 435

%e 8 | 19 57 95 152 209 266 323 437 494 551

%e 9 | 25 75 50 200 275 350 425 575 650 725

%e 10 | 27 54 135 216 297 378 459 621 702 783

%o (PARI) See Links section.

%Y Cf. A338919, A361926, A361941 (inverse).

%K nonn,tabl

%O 1,2

%A _Rémy Sigrist_, Mar 30 2023