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A348357
Square array T(n, k), n, k > 0, read by antidiagonal upwards; the k-th column contains, in ascending order, the integers m such that A348331(m) = k.
4
1, 2, 4, 3, 5, 7, 6, 9, 8, 10, 12, 18, 15, 11, 13, 24, 36, 30, 21, 14, 16, 48, 72, 60, 42, 27, 17, 19, 96, 144, 120, 84, 54, 33, 20, 22, 192, 288, 240, 168, 108, 66, 39, 23, 25, 384, 576, 480, 336, 216, 132, 78, 45, 26, 28, 768, 1152, 960, 672, 432, 264, 156, 90, 51, 29, 31
OFFSET
1,2
COMMENTS
When interpreted as a flat array, we have a permutation of the positive integers.
FORMULA
Sum_{i = 1..n-1} T(i, k) <= T(n, k).
T(n, 1) = A098011(n+1).
EXAMPLE
Array T(n, k) begins:
n\k| 1 2 3 4 5 6 7 8 9 10
---+-----------------------------------------------------------
1| 1 4 7 10 13 16 19 22 25 28
2| 2 5 8 11 14 17 20 23 26 29
3| 3 9 15 21 27 33 39 45 51 57
4| 6 18 30 42 54 66 78 90 102 114
5| 12 36 60 84 108 132 156 180 204 228
6| 24 72 120 168 216 264 312 360 408 456
7| 48 144 240 336 432 528 624 720 816 912
8| 96 288 480 672 864 1056 1248 1440 1632 1824
9| 192 576 960 1344 1728 2112 2496 2880 3264 3648
10| 384 1152 1920 2688 3456 4224 4992 5760 6528 7296
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Rémy Sigrist, Oct 14 2021
STATUS
approved