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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.
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%I #6 Oct 17 2021 15:27:40

%S 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,

%T 17,19,96,144,120,84,54,33,20,22,192,288,240,168,108,66,39,23,25,384,

%U 576,480,336,216,132,78,45,26,28,768,1152,960,672,432,264,156,90,51,29,31

%N 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.

%C When interpreted as a flat array, we have a permutation of the positive integers.

%H Rémy Sigrist, <a href="/A348357/a348357.gp.txt">PARI program for A348357</a>

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

%F Sum_{i = 1..n-1} T(i, k) <= T(n, k).

%F T(n, 1) = A098011(n+1).

%e Array T(n, k) begins:

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

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

%e 1| 1 4 7 10 13 16 19 22 25 28

%e 2| 2 5 8 11 14 17 20 23 26 29

%e 3| 3 9 15 21 27 33 39 45 51 57

%e 4| 6 18 30 42 54 66 78 90 102 114

%e 5| 12 36 60 84 108 132 156 180 204 228

%e 6| 24 72 120 168 216 264 312 360 408 456

%e 7| 48 144 240 336 432 528 624 720 816 912

%e 8| 96 288 480 672 864 1056 1248 1440 1632 1824

%e 9| 192 576 960 1344 1728 2112 2496 2880 3264 3648

%e 10| 384 1152 1920 2688 3456 4224 4992 5760 6528 7296

%o (PARI) See Links section.

%Y Cf. A098011, A348331, A348356.

%K nonn,tabl

%O 1,2

%A _Rémy Sigrist_, Oct 14 2021