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Array read by antidiagonals: row n lists numbers m >= 2 with A362333(m) = n.
1

%I #5 Mar 22 2024 09:18:18

%S 2,3,4,5,9,8,6,12,24,16,7,18,27,48,32,10,25,54,81,96,64,11,36,72,144,

%T 243,192,128,13,45,108,162,288,576,384,256,14,49,125,324,486,729,1152,

%U 768,512,15,50,135,405,864,1458,2187,2304,1536,1024

%N Array read by antidiagonals: row n lists numbers m >= 2 with A362333(m) = n.

%F T(n,1) = 2^n.

%e Table begins:

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

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

%e 1 | 2 3 5 6 7 10 11 13 14 15

%e 2 | 4 9 12 18 25 36 45 49 50 75

%e 3 | 8 24 27 54 72 108 125 135 216 250

%e 4 | 16 48 81 144 162 324 405 432 625 648

%e 5 | 32 96 243 288 486 864 972 1215 1944 2430

%e 6 | 64 192 576 729 1458 1728 2916 3645 5184 5832

%e 7 | 128 384 1152 2187 3456 4374 8748 10368 10935 17496

%e 8 | 256 768 2304 6561 6912 13122 20736 26244 32805 52488

%e 9 | 512 1536 4608 13824 19683 39366 41472 78732 98415 124416

%e 10 | 1024 3072 9216 27648 59049 82944 118098 236196 248832 295245

%Y Cf. A048839 (first row), A057109 (terms in rows 2, 3, ...), A362333.

%K nonn,tabl

%O 1,1

%A _Pontus von Brömssen_, Mar 13 2024