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Lexicographically earliest array of distinct positive integers read by antidiagonals such that integers in cells which are a knight's move apart are coprime.
1

%I #31 Mar 10 2023 13:35:19

%S 1,2,3,4,5,7,6,8,9,11,13,17,19,23,10,12,15,21,27,16,14,22,25,29,31,37,

%T 20,33,18,24,35,26,39,41,43,47,49,53,59,61,32,55,67,45,28,30,51,57,63,

%U 34,36,71,73,38,44,40,65,79,83,89,85,77,91,69,42,75

%N Lexicographically earliest array of distinct positive integers read by antidiagonals such that integers in cells which are a knight's move apart are coprime.

%H Jodi Spitz, <a href="/A359752/b359752.txt">Table of n, a(n) for n = 1..5499</a>

%H Rémy Sigrist, <a href="/A359752/a359752.png">Colored representation of the first 500 antidiagonals</a> (plus-shaped patterns correspond to even values)

%H Rémy Sigrist, <a href="/A359752/a359752.gp.txt">PARI program</a>

%e The array begins:

%e 1 2 4 6 13 12 22 18 ...

%e 3 5 8 17 15 25 24 ...

%e 7 9 19 21 29 35 ...

%e 11 23 27 31 26 ...

%e 10 16 37 39 ...

%e 14 20 41 ...

%e 33 43 ...

%e 47 ...

%o (PARI) See Links section.

%Y Cf. A097883.

%K nonn,tabl

%O 1,2

%A _Jodi Spitz_, Mar 07 2023

%E More terms from _Rémy Sigrist_, Mar 09 2023

%E More terms from _Jodi Spitz_, Mar 10 2023