A338872 -id:A338872 - cp's OEIS frontend

A338919 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 and by k.

1, 2, 4, 3, 6, 9, 8, 12, 18, 16, 5, 20, 15, 24, 10, 30, 40, 36, 48, 50, 42, 7, 54, 45, 28, 60, 66, 14, 32, 56, 72, 80, 100, 78, 70, 64, 27, 88, 21, 84, 25, 96, 63, 104, 81, 90, 108, 120, 112, 150, 180, 140, 144, 126, 110, 11, 130, 99, 128, 35, 102, 105, 136, 117, 160, 22

Offset: 1

Rémy Sigrist, Nov 15 2020

All integers appear in this sequence.

			Array T(n, k) begins:
  n\k|   1    2    3    4    5    6    7    8    9   10
  ---+-------------------------------------------------
    1|   1    4    9   16   10   42   14   64   81  110
    2|   2    6   18   24   50   66   70  104  126  160
    3|   3   12   15   48   60   78   63  144  117  270
    4|   8   20   36   28  100   96  140  136  288  260
    5|   5   40   45   80   25  180  105  240  225  190
    6|  30   54   72   84  150  102  252  312  198  360
    7|   7   56   21  112   35  168   49  280  315  490
    8|  32   88  120  128  200  264  224  152  504  400
    9|  27  108   99  216  135  162  189  432  153  720
   10|  90  130  210  220  170  330  350  320  630  230

Rémy Sigrist, Table of n, a(n) for n = 1..5050
Rémy Sigrist, PARI program for A338919
Index entries for sequences that are permutations of the natural numbers

See A338872 and A338918 for similar sequences.

PARI
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See Links section.
```

T(p, 1) = p for any prime number p.

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.

Original entry on oeis.org

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

Rémy Sigrist, Nov 15 2020

All integers appear in this sequence.

			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

Rémy Sigrist, Table of n, a(n) for n = 1..5050
Rémy Sigrist, PARI program for A338918
Index entries for sequences that are permutations of the natural numbers

See A338872 and A338919 for similar sequences.

PARI
```
See Links section.
```

T(p, 1) = p for any prime number p.

cp's OEIS Frontend

A338919 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 and by k.

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