A361927 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).

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, 28, 17, 19, 30, 65, 72, 77, 84, 34, 23, 25, 57, 60, 104, 99, 42, 68, 46, 26, 27, 75, 95, 120, 143, 126, 119, 92, 52, 29, 31, 54, 50, 152, 165, 182, 153, 161, 156, 58, 32

Offset

1,2

Comments

This sequence is a variant of A361926.

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

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    8   11   14   17   23   26   29
    2 |  2   6   10   16   22   28   34   46   52   58
    3 |  4  12   20   24   44   84   68   92  156  116
    4 |  7  21   35   56   77   42  119  161  364  203
    5 |  9  18   45   72   99  126  153  207  234  261
    6 | 13  39   65  104  143  182  221  299   78  377
    7 | 15  30   60  120  165  210  255  345  390  435
    8 | 19  57   95  152  209  266  323  437  494  551
    9 | 25  75   50  200  275  350  425  575  650  725
   10 | 27  54  135  216  297  378  459  621  702  783

Prog

(PARI) See Links section.

Crossrefs

Cf. A338919, A361926, A361941 (inverse).

Sequence in context: A136175 A345252 A374818 * A360633 A129258 A256988

Adjacent sequences: A361924 A361925 A361926 * A361928 A361929 A361930

Keyword

nonn,tabl

Author

Rémy Sigrist, Mar 30 2023

Status

approved