A361926 - OEIS

%I #7 Apr 01 2023 08:50:15

%S 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,

%T 26,23,25,38,45,44,35,32,34,27,29,50,57,60,55,42,36,40,31,37,58,75,76,

%U 90,66,49,48,46,39,41,74,87,100,95,105,77,56,52,54,43

%N 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).

%C This sequence is a variant of A361748.

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

%H Rémy Sigrist, <a href="/A361926/a361926.gp.txt">PARI program</a>

%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

%e Array A(n, k) begins:

%e   n\k |  1   2    3    4    5    6    7    8    9   10

%e   ----+-----------------------------------------------

%e     1 |  1   3    5    9   13   17   23   27   31   39

%e     2 |  2   6   10   16   18   26   34   40   46   54

%e     3 |  4   8   12   20   24   32   36   48   52   64

%e     4 |  7  14   21   28   35   42   49   56   63   70

%e     5 | 11  22   33   44   55   66   77   88   99  110

%e     6 | 15  30   45   60   90  105  120  135  165  180

%e     7 | 19  38   57   76   95  114  133  152  171  190

%e     8 | 25  50   75  100  125  150  175  200  225  250

%e     9 | 29  58   87  116  145  174  203  232  261  290

%e    10 | 37  74  111  148  185  222  259  296  333  370

%o (PARI) See Links section.

%Y Cf. A361748, A361940 (inverse).

%K nonn,tabl

%O 1,2

%A _Rémy Sigrist_, Mar 30 2023