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A338918
Square array of distinct positive integers T(n, k), n > 0, k > 0, read by antidiagonals upwards, filled the greedy way such that for any n > 0 and k > 0, T(n, k) is divisible by n * k.
3
1, 2, 4, 3, 8, 6, 12, 18, 24, 16, 5, 32, 9, 40, 10, 30, 20, 36, 48, 50, 42, 7, 60, 15, 64, 45, 72, 14, 56, 28, 54, 80, 100, 90, 70, 88, 27, 96, 21, 120, 25, 144, 63, 112, 81, 110, 108, 168, 84, 150, 180, 140, 192, 126, 130, 11, 160, 135, 128, 35, 216, 105, 224, 162, 200, 22
OFFSET
1,2
COMMENTS
All integers appear in this sequence.
FORMULA
T(p, 1) = p for any prime number p.
EXAMPLE
Array T(n, k) begins:
n\k| 1 2 3 4 5 6 7 8 9 10
---+--------------------------------------------------
1| 1 4 6 16 10 42 14 88 81 130
2| 2 8 24 40 50 72 70 112 126 200
3| 3 18 9 48 45 90 63 192 162 270
4| 12 32 36 64 100 144 140 224 288 360
5| 5 20 15 80 25 180 105 280 315 300
6| 30 60 54 120 150 216 336 432 486 540
7| 7 28 21 84 35 294 49 448 441 490
8| 56 96 168 128 240 384 392 256 576 640
9| 27 108 135 252 225 378 189 504 243 900
10| 110 160 210 320 250 420 350 400 810 500
PROG
(PARI) See Links section.
CROSSREFS
See A338872 and A338919 for similar sequences.
Sequence in context: A243072 A243346 A295029 * A329605 A243073 A243345
KEYWORD
nonn,look,tabl
AUTHOR
Rémy Sigrist, Nov 15 2020
STATUS
approved