A361926 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).

1, 2, 3, 4, 6, 5, 7, 8, 10, 9, 11, 14, 12, 16, 13, 15, 22, 21, 20, 18, 17, 19, 30, 33, 28, 24, 26, 23, 25, 38, 45, 44, 35, 32, 34, 27, 29, 50, 57, 60, 55, 42, 36, 40, 31, 37, 58, 75, 76, 90, 66, 49, 48, 46, 39, 41, 74, 87, 100, 95, 105, 77, 56, 52, 54, 43

Offset: 1

Author

Rémy Sigrist, Mar 30 2023

Keywords

• nonn
• tabl

Comments

This sequence is a variant of A361748.

As a flat sequence, this is a permutation of the positive integers with inverse A361940.

Examples

			Array A(n, k) begins:
  n\k |  1   2    3    4    5    6    7    8    9   10
  ----+-----------------------------------------------
    1 |  1   3    5    9   13   17   23   27   31   39
    2 |  2   6   10   16   18   26   34   40   46   54
    3 |  4   8   12   20   24   32   36   48   52   64
    4 |  7  14   21   28   35   42   49   56   63   70
    5 | 11  22   33   44   55   66   77   88   99  110
    6 | 15  30   45   60   90  105  120  135  165  180
    7 | 19  38   57   76   95  114  133  152  171  190
    8 | 25  50   75  100  125  150  175  200  225  250
    9 | 29  58   87  116  145  174  203  232  261  290
   10 | 37  74  111  148  185  222  259  296  333  370
		

Links

• Rémy Sigrist, PARI program
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A361748, A361940 (inverse).

Programs

PARI

See Links section.