A360646 Square array A(n, k), n, k > 0, read by antidiagonals upwards; A(n, k) = A066208(n) * A066207(k).

1, 2, 3, 4, 6, 7, 5, 12, 14, 9, 8, 15, 28, 18, 13, 10, 24, 35, 36, 26, 19, 11, 30, 56, 45, 52, 38, 21, 16, 33, 70, 72, 65, 76, 42, 27, 17, 48, 77, 90, 104, 95, 84, 54, 29, 20, 51, 112, 99, 130, 152, 105, 108, 58, 37, 22, 60, 119, 144, 143, 190, 168, 135, 116, 74, 39

Offset

1,2

Comments

Every positive integer occurs exactly once.

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

Formula

A(n, 1) = A066208(n) = A247503(A(n,k)).

A(1, k) = A066207(k) = A248101(A(n,k)).

Example

Array A(n, k) begins:
  n\k |  1   2    3    4    5    6    7    8    9   10
  ----+-----------------------------------------------
    1 |  1   3    7    9   13   19   21   27   29   37
    2 |  2   6   14   18   26   38   42   54   58   74
    3 |  4  12   28   36   52   76   84  108  116  148
    4 |  5  15   35   45   65   95  105  135  145  185
    5 |  8  24   56   72  104  152  168  216  232  296
    6 | 10  30   70   90  130  190  210  270  290  370
    7 | 11  33   77   99  143  209  231  297  319  407
    8 | 16  48  112  144  208  304  336  432  464  592
    9 | 17  51  119  153  221  323  357  459  493  629
   10 | 20  60  140  180  260  380  420  540  580  740

Prog

(PARI) See Links section.

Crossrefs

Cf. A249327, A066207, A066208, A247503, A248101.

Sequence in context: A186004 A056534 A297933 * A130264 A072659 A072766

Adjacent sequences: A360643 A360644 A360645 * A360647 A360648 A360649

Keyword

nonn,tabl

Author

Rémy Sigrist, Feb 15 2023

Status

approved