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

1,2

Comments

This sequence is a variant of A361748.

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

Links

Table of n, a(n) for n=1..66.

Rémy Sigrist, PARI program

Index entries for sequences that are permutations of the natural numbers

Example

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

Prog

(PARI) See Links section.

Crossrefs

Cf. A361748, A361940 (inverse).

Sequence in context: A371424 A371425 A361940 * A332805 A332807 A373038

Adjacent sequences: A361923 A361924 A361925 * A361927 A361928 A361929

Keyword

nonn,tabl

Author

Rémy Sigrist, Mar 30 2023

Status

approved