A359752 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, 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, 20, 33, 18, 24, 35, 26, 39, 41, 43, 47, 49, 53, 59, 61, 32, 55, 67, 45, 28, 30, 51, 57, 63, 34, 36, 71, 73, 38, 44, 40, 65, 79, 83, 89, 85, 77, 91, 69, 42, 75

Offset

1,2

Links

Jodi Spitz, Table of n, a(n) for n = 1..5499

Rémy Sigrist, Colored representation of the first 500 antidiagonals (plus-shaped patterns correspond to even values)

Rémy Sigrist, PARI program

Example

The array begins:
   1  2  4  6 13 12 22 18 ...
   3  5  8 17 15 25 24 ...
   7  9 19 21 29 35 ...
  11 23 27 31 26 ...
  10 16 37 39 ...
  14 20 41 ...
  33 43 ...
  47 ...

Prog

(PARI) See Links section.

Crossrefs

Cf. A097883.

Sequence in context: A370790 A233280 A233279 * A267111 A161919 A269391

Adjacent sequences: A359749 A359750 A359751 * A359753 A359754 A359755

Keyword

nonn,tabl

Author

Jodi Spitz, Mar 07 2023

Extensions

More terms from Rémy Sigrist, Mar 09 2023

More terms from Jodi Spitz, Mar 10 2023

Status

approved